<?xml version='1.0' encoding='utf-8'?>
<!DOCTYPE rfc [
  <!ENTITY nbsp    "&#160;">
  <!ENTITY zwsp   "&#8203;">
  <!ENTITY nbhy   "&#8209;">
  <!ENTITY wj     "&#8288;">
]>
<?xml-stylesheet type="text/xsl" href="rfc2629.xslt" ?>
<!-- generated by https://github.com/cabo/kramdown-rfc version 1.6.17 (Ruby 3.1.3) -->
<rfc xmlns:xi="http://www.w3.org/2001/XInclude" ipr="trust200902" docName="draft-ietf-elegy-rfc8989bis-03" category="bcp" consensus="true" obsoletes="8989" updates="8713" tocInclude="true" sortRefs="true" symRefs="true" version="3">
  <!-- xml2rfc v2v3 conversion 3.15.3 -->
  <front>
    <title abbrev="RFC8989bis">Nominating Committee Eligibility</title>
    <seriesInfo name="Internet-Draft" value="draft-ietf-elegy-rfc8989bis-03"/>
    <author initials="M." surname="Duke" fullname="Martin Duke">
      <organization>Google LLC</organization>
      <address>
        <email>martin.h.duke@gmail.com</email>
      </address>
    </author>
    <date year="2022" month="December" day="21"/>
    <area>General</area>
    <workgroup>ELEGY</workgroup>
    <keyword>Internet-Draft</keyword>
    <abstract>
      <t>The IETF Nominating Committee (NomCom) appoints candidates to several IETF
leadership committees. RFC8713 provides criteria for NomCom membership that
attempt to ensure that NomCom volunteers are members of the loosely defined
IETF community, by requiring in-person attendance in three of the past five in-
person meetings. In 2020 and 2021, the IETF had six consecutive fully online
plenary meetings that drove rapid advancement in remote meeting technologies and
procedures, including an experiment that included remote attendance for NomCom
eligibility. This document updates RFC8713 by defining a new set of eligibility
criteria from first principles, with consideration to the increased salience of
remote attendance.</t>
    </abstract>
    <note removeInRFC="true">
      <name>Discussion Venues</name>
      <t>Source for this draft and an issue tracker can be found at
    <eref target="https://github.com/ietf-wg-elegy/rfc8989bis"/>.</t>
    </note>
  </front>
  <middle>
    <section anchor="introduction">
      <name>Introduction</name>
      <t><xref target="RFC8713"/> defines the process for the selection of the Internet Architecture
Board (IAB), Internet Engineering Steering Group (IESG), IETF Trust, and one
IETF LLC Director. A key actor in the process is the Nominating Committee
(NomCom), which nominates a single candidate for each open position, subject to
confirmation by other bodies.</t>
      <t>NomCom voting members are volunteers that have met certain eligibility
requirements. The actual NomCom is selected at random from the pool of eligible
volunteers. Thus, it is important that members of the pool be IETF participants
likely to have knowledge of IETF processes and practices. There are restrictions
to ensure that no more than two volunteers with the same primary affiliation are
chosen.</t>
      <t><xref section="4.14" sectionFormat="of" target="RFC8713"/> requires that volunteers must have attended three of
the previous five meetings. In practice, this has meant that the volunteer
picked up their registration badge at an in-person meeting. Current members of
the Internet Society Board of Trustees and bodies for which the NomCom nominates
members are ineligible.</t>
      <t><xref target="RFC8989"/> specified an experiment in the wake of six consecutive fully online
meetings from 2020 to 2021, where the historic interpretation of the requirement
would have resulted in no eligible volunteers. It extended the attendance
requirement to define meeting attendance as including logging in to at least one
session of a fully-online IETF meeting.</t>
      <t>RFC8989 also created two other tracks to obtain eligibility: (1) serving as a
working group chair or secretary in the past three years, and (2) author or
editor of an IETF Stream RFC in the past five years, including internet-drafts
in the RFC Editor queue.</t>
      <t>This document discusses some of the first principles that inform the design of
NomCom eligibility, and makes recommendations on how the process of
qualification based on attendance should work.</t>
      <t>This document replaces the attendance criteria in the first two paragraphs of
<xref section="4.14" sectionFormat="of" target="RFC8713"/> with criteria based on those in <xref target="RFC8989"/>, and
obsoletes RFC8989 to make it clear that that document has been superseded. The
other paragraphs of <xref section="4.14" sectionFormat="of" target="RFC8713"/> remain intact.</t>
    </section>
    <section anchor="conventions-and-definitions">
      <name>Conventions and Definitions</name>
      <t>The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL
NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED",
"MAY", and "OPTIONAL" in this document are to be interpreted as
described in BCP 14 <xref target="RFC2119"/> <xref target="RFC8174"/> when, and only when, they
appear in all capitals, as shown here.</t>
    </section>
    <section anchor="nomcom-principles">
      <name>NomCom Principles</name>
      <t>The NomCom is intended to be composed of randomly selected members of "the
community." For many years, in-person attendance was a reasonable proxy for the
commitment associated with being a member. Two days of travel and an attendance
fee is a relatively large expenditure of time and money. Additionally, in-person
attendance is thought to increase personal familiarity with candidates for
leadership positions and with the spirit of the IETF, although there is no
mechanism to ensure any interactions. Finally, the NomCom interview process was
largely conducted in-person at IETF meetings, so the ability to attend was a
prerequisite to participate.</t>
      <t>A basic principle is that the community should govern itself, so volunteers
must have a demonstrated commitment to the IETF. Limiting the number of
volunteers sponsored by any one organization avoids the potential for mischief
that disrupts IETF operations or works against the interests of the community as
a whole.</t>
      <t>However, attitudes to business travel evolve, and remote meeting technology
continues to improve, to the extent that many longstanding community members
choose to participate remotely. A requirement for in-person attendance has
always excluded some from qualification from the NomCom, due to cost or personal
reasons. Further, the NomCom has completed two cycles using entirely online
tools.</t>
      <t>Counting remote attendance lowers the barriers to entry. As the IETF is
committed to having a no-fee remote option (<xref target="I-D.ietf-shmoo-remote-fee"/>) the
only required investment is to log on once per meeting at a specific time
(sometimes a locally inconvenient hour). While this document does not formally
impose a requirement for the NomCom to function entirely remotely, including
remote-only attendees in the pool is likely to effectively require a remote
component to NomCom operations.</t>
      <t>Finally, overly restrictive criteria work against getting a broad talent pool.</t>
    </section>
    <section anchor="criteria">
      <name>Criteria</name>
      <t>The following paths to qualification replace the first two paragraphs of
<xref section="4.14" sectionFormat="of" target="RFC8713"/>. Any one of the paths is sufficient, unless the
person is otherwise disqualified under <xref section="4.15" sectionFormat="of" target="RFC8713"/>.</t>
      <t>Path 1:
The person has registered for and attended three out of the last five IETF
meetings, either in-person or online. In-person attendance is as determined by
the record keeping of the Secretariat. Online attendance is based on being a
registered person who logged in for at least one session of an IETF meeting.</t>
      <t>Path 2:
The person has been a Working Group Chair or Secretary within the three years
prior to the day the call for NomCom volunteers is sent to the community.</t>
      <t>Path 3:
The person has been a listed author or editor on the front page of at least two
IETF Stream RFCs within the last five years prior to the day the call for
NomCom volunteers is sent to the community. An Internet-Draft that has been
approved by the IESG and is in the RFC Editor queue counts the same as a
published RFC, with the relevant date being the date the draft was added to the
RFC Editor queue. For avoidance of doubt, the five-year timer extends back to
the date five years before the date when the call for NomCom volunteers is sent
to the community.</t>
    </section>
    <section anchor="security-considerations">
      <name>Security Considerations</name>
      <section anchor="nomcom-capture">
        <name>NomCom Capture</name>
        <t>The most potent threat associated with NomCom eligibility is that an
organization or group of coordinating organizations could attempt to obtain a
majority of NomCom positions, in order to select an IETF leadership in support
of an agenda that might be self-serving and against the interests of the
community as a whole.</t>
        <t>Note that <xref target="RFC8713"/> lets the NomCom Chair decide the NomCom voting
requirement, so a simple majority may be inadequate. However, seven of ten forms
a quorum, so at worst seven NomCom members working together can almost certainly
impose their will.</t>
        <t>Whatever the merits of admitting remote attendees, it reduces the minimum cost
of creating a NomCom-eligible volunteer from three in-person trips of around
five days each over the course of at least eight months, to zero financial cost
and the time required to log in three times over at least eight months. Some
organizations might not be deterred in either case, while others might now find
such an attack to not be feasible.</t>
        <section anchor="a-surge-of-volunteers">
          <name>A Surge of Volunteers</name>
          <t>A large number of legitimate volunteers makes it quite difficult to control six
of ten NomCom slots. Setting aside limitations on the number of selections from
any organization, basic probability shows that to have even a 50% chance of
controlling six or more NomCom positions, an attacker needs roughly 60% of the
volunteer pool. For example, if there are 300 "legitimate" volunteers, an
attacker must produce 365 volunteers to exceed a 50% chance of NomCom capture
(see <xref target="capture-math"/>).</t>
          <t>A sudden surge in the number of volunteers, particularly of people that no one
recognizes as a part of the community, is an early-warning sign for the
community, leadership and the IETF Secretariat to further investigate. The
community should monitor and assess a sudden increase in the number of online
registration fee waivers awarded in accordance with
<xref section="4" sectionFormat="of" target="I-D.ietf-shmoo-remote-fee"/>.</t>
          <t>While loosening eligibility criteria lowers the cost to an attacker of producing
eligible volunteers, it also increases the number of legitimate volunteers that
increases the difficulty of an attack.</t>
        </section>
        <section anchor="the-two-per-organization-limit">
          <name>The Two-Per-Organization Limit</name>
          <t>The two-per-organization limit in <xref target="RFC8713"/> complicates such an attack.  To
circumvent it, an organization must either (1) coordinate with at least two
like-minded organizations to produce a NomCom majority, (2) incentivize members
of other organizations (possibly through a funding agreement) to support its
agenda, or (3) propose candidates with false affiliations.</t>
          <t>While the IETF does not routinely confirm the affiliation of volunteers, as part
of an investigation it could eliminate volunteers who have misrepresented said
affiliation. Publishing the list of volunteers and affiliations also gives the
community an opportunity to review the truth of such claims.</t>
          <t>Assuming that 300 legitimate volunteers are all from different organizations,
three conspiring organizations would need 771 volunteers (257 per organization)
for a 50% chance of NomCom capture (see <xref target="capture-math"/>).</t>
        </section>
        <section anchor="one-year-of-participation">
          <name>One Year of Participation</name>
          <t>Attendance at three meetings requires at least eight months of waiting. Given
the volume of volunteers necessary to capture the process, an attack requires a
surge in attendees over the course of a year. Such a surge might trigger a
community challenge to the list of eligible volunteers, and/or a leadership
investigation to detect suspicious behavior (e.g., logging in to a single
session and then immediately logging out). In the event of abuse of process, the
leadership would then have months to adjust policy in response before the NomCom
cycle begins.</t>
        </section>
      </section>
      <section anchor="disruptive-candidates">
        <name>Disruptive Candidates</name>
        <t>Note that the counting remote participation towards NomCom eligibility allows
for a single individual to mount an attack that previously required
coordination. By registering for remote attendance to IETF meetings using a
number of different identities over a year, an individual can make each of those
identities NomCom eligible and then serve under any one of them that is selected
for the NomCom. Once selected, an individual could seek to disrupt the process
or prevent the timely conclusion of its work. Less severely, an attacker could
simply improve their chances of being selected for NomCom.</t>
        <t>This attack is much harder to detect or prevent than equivalent attacks were
previously, as it does not require coordination among multiple attendees.
While the attacker cannot be sure of fee waivers for some or all of the
different identities, the lower cost for remote participation also makes this
attack more feasible than it would have been under prior rules.</t>
        <t>However, the voting member recall procedure in <xref section="5.7" sectionFormat="of" target="RFC8713"/> exists
to allow removal and replacement of disruptive figures.</t>
      </section>
      <section anchor="additional-remedies">
        <name>Additional Remedies</name>
        <t>Additional changes to the process to further obstruct attacks against the
NomCom are beyond the scope of this document. However, a challenge process
against volunteers with a suspicious reported affiliation, or that might be
aliases of a single volunteer, could trigger an investigation.</t>
        <t>Similarly, the challenge to the random selection described in
<xref section="4.17" sectionFormat="of" target="RFC8713"/> can explicitly include appeals against the data
used to qualify the volunteer, rather than the randomization process.</t>
      </section>
    </section>
    <section anchor="iana-considerations">
      <name>IANA Considerations</name>
      <t>This document has no IANA actions.</t>
    </section>
  </middle>
  <back>
    <references>
      <name>References</name>
      <references>
        <name>Normative References</name>
        <reference anchor="RFC8713">
          <front>
            <title>IAB, IESG, IETF Trust, and IETF LLC Selection, Confirmation, and Recall Process: Operation of the IETF Nominating and Recall Committees</title>
            <author fullname="M. Kucherawy" initials="M." role="editor" surname="Kucherawy">
              <organization/>
            </author>
            <author fullname="R. Hinden" initials="R." role="editor" surname="Hinden">
              <organization/>
            </author>
            <author fullname="J. Livingood" initials="J." role="editor" surname="Livingood">
              <organization/>
            </author>
            <date month="February" year="2020"/>
            <abstract>
              <t>The process by which the members of the IAB and IESG, some Trustees of the IETF Trust, and some Directors of the IETF Administration LLC (IETF LLC) are selected, confirmed, and recalled is specified in this document. This document is based on RFC 7437.  Only those updates required to reflect the changes introduced by IETF Administrative Support Activity (IASA) 2.0 have been included. Any other changes will be addressed in future documents.</t>
              <t>This document obsoletes RFC 7437 and RFC 8318.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="10"/>
          <seriesInfo name="RFC" value="8713"/>
          <seriesInfo name="DOI" value="10.17487/RFC8713"/>
        </reference>
        <reference anchor="RFC2119">
          <front>
            <title>Key words for use in RFCs to Indicate Requirement Levels</title>
            <author fullname="S. Bradner" initials="S." surname="Bradner">
              <organization/>
            </author>
            <date month="March" year="1997"/>
            <abstract>
              <t>In many standards track documents several words are used to signify the requirements in the specification.  These words are often capitalized. This document defines these words as they should be interpreted in IETF documents.  This document specifies an Internet Best Current Practices for the Internet Community, and requests discussion and suggestions for improvements.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="14"/>
          <seriesInfo name="RFC" value="2119"/>
          <seriesInfo name="DOI" value="10.17487/RFC2119"/>
        </reference>
        <reference anchor="RFC8174">
          <front>
            <title>Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words</title>
            <author fullname="B. Leiba" initials="B." surname="Leiba">
              <organization/>
            </author>
            <date month="May" year="2017"/>
            <abstract>
              <t>RFC 2119 specifies common key words that may be used in protocol  specifications.  This document aims to reduce the ambiguity by clarifying that only UPPERCASE usage of the key words have the  defined special meanings.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="14"/>
          <seriesInfo name="RFC" value="8174"/>
          <seriesInfo name="DOI" value="10.17487/RFC8174"/>
        </reference>
      </references>
      <references>
        <name>Informative References</name>
        <reference anchor="RFC8989">
          <front>
            <title>Additional Criteria for Nominating Committee Eligibility</title>
            <author fullname="B. Carpenter" initials="B." surname="Carpenter">
              <organization/>
            </author>
            <author fullname="S. Farrell" initials="S." surname="Farrell">
              <organization/>
            </author>
            <date month="February" year="2021"/>
            <abstract>
              <t>This document defines a process experiment under RFC 3933 that temporarily updates the criteria for qualifying volunteers to participate in the IETF Nominating Committee. It therefore also updates the criteria for qualifying signatories to a community recall petition. The purpose is to make the criteria more flexible in view of increasing remote participation in the IETF and a reduction in face-to-face meetings. The experiment is of fixed duration and will apply to one, or at most two, consecutive Nominating Committee cycles, starting in 2021. This document temporarily varies the rules in RFC 8713.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="8989"/>
          <seriesInfo name="DOI" value="10.17487/RFC8989"/>
        </reference>
        <reference anchor="I-D.ietf-shmoo-remote-fee">
          <front>
            <title>Open Participation Principle regarding Remote Registration Fee</title>
            <author fullname="Mirja Kühlewind" initials="M." surname="Kühlewind">
              <organization>Ericsson</organization>
            </author>
            <author fullname="Jonathan Reed" initials="J." surname="Reed">
              <organization>Akamai</organization>
            </author>
            <author fullname="Rich Salz" initials="R." surname="Salz">
              <organization>Akamai</organization>
            </author>
            <date day="7" month="December" year="2022"/>
            <abstract>
              <t>   This document outlines a principle for open participation that
   extends the open process principle defined in RFC3935 by stating that
   there must always be a free option for online participation to IETF
   meetings and, if possible, related IETF-hosted events over the
   Internet.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-shmoo-remote-fee-04"/>
        </reference>
      </references>
    </references>
    <section anchor="capture-math">
      <name>NomCom Capture Calculations</name>
      <t><xref target="security-considerations"/> offers some mathematical results for the probability
of NomCom capture. This appendix shows the work.</t>
      <t>Note that the number of combinations of b items chosen from a population of a
item is often expressed as</t>
      <figure anchor="peq1">
        <artset>
          <artwork type="svg" align="center"><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" height="6.176ex" role="img" viewBox="0 -1580.7 7512 2659.1" width="17.447ex">
              <defs>
                <path d="M304 -161l-12 -16c-158 90 -244 259 -244 429c0 185 87 329 247 424l9 -16c-139 -119 -170 -212 -170 -405c0 -186 30 -299 170 -416Z" id="E1-STIXWEBMAIN-28" stroke-width="1"/>
                <path d="M667 -346v-48c-284 267 -485 689 -485 1230c0 538 201 1002 485 1230v-44c-178 -184 -375 -580 -375 -1186c0 -613 197 -962 375 -1182Z" id="E1-STIXWEBSIZE3-28" stroke-width="1"/>
                <path d="M472 428l-91 -345s-1 -2 -1 -11c0 -11 6 -17 14 -17c10 0 25 2 64 54l12 -12c-31 -47 -85 -107 -133 -107c-33 0 -42 23 -42 55c0 13 6 34 11 50h-4c-72 -92 -134 -105 -173 -105c-63 0 -89 55 -89 119c0 132 132 332 276 332c43 0 64 -24 66 -46h1l9 33h80zM367 341 c0 41 -12 71 -50 71c-68 0 -128 -87 -162 -171c-18 -45 -28 -89 -28 -124c0 -53 31 -66 58 -66c69 0 139 95 167 190c8 26 15 66 15 100Z" id="E1-STIXWEBNORMALI-1D44E" stroke-width="1"/>
                <path d="M214 382l4 -4c33 32 72 63 121 63c70 0 111 -69 111 -151c0 -121 -109 -301 -266 -301c-53 0 -94 18 -139 48l144 563c1 4 2 8 2 11c-1 13 -16 21 -29 21c-10 0 -22 -1 -30 -4l-3 16l158 24zM179 252l-55 -215c0 -7 32 -19 55 -19c122 0 188 174 188 276 c0 70 -38 92 -71 92c-72 0 -106 -89 -117 -134Z" id="E1-STIXWEBNORMALI-1D44F" stroke-width="1"/>
                <path d="M29 660l12 16c153 -92 244 -259 244 -429c0 -185 -88 -327 -247 -424l-9 16c142 117 170 211 170 405c0 187 -25 302 -170 416Z" id="E1-STIXWEBMAIN-29" stroke-width="1"/>
                <path d="M83 2018v48c284 -267 485 -685 485 -1230c0 -534 -201 -1002 -485 -1230v44c178 184 375 580 375 1186c0 614 -197 965 -375 1182Z" id="E1-STIXWEBSIZE3-29" stroke-width="1"/>
                <path d="M637 320h-589v66h589v-66zM637 120h-589v66h589v-66Z" id="E1-STIXWEBMAIN-3D" stroke-width="1"/>
                <path d="M175 176l-42 381c-2 20 -3 32 -3 43c0 43 15 76 53 76c34 0 53 -32 53 -81c0 -12 -1 -27 -2 -38l-45 -381h-14zM236 42c0 -29 -23 -51 -54 -51c-30 0 -52 22 -52 52s23 54 53 54c29 0 53 -25 53 -55Z" id="E1-STIXWEBMAIN-21" stroke-width="1"/>
                <path d="M621 220h-557v66h557v-66Z" id="E1-STIXWEBMAIN-2212" stroke-width="1"/>
              </defs>
              <g fill="black" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)">
                <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                <g transform="translate(750,0)">
                  <use xlink:href="#E1-STIXWEBNORMALI-1D44E" x="0" y="676"/>
                  <use xlink:href="#E1-STIXWEBNORMALI-1D44F" x="16" y="-686"/>
                </g>
                <use xlink:href="#E1-STIXWEBSIZE3-29" x="1253" y="-586"/>
                <use xlink:href="#E1-STIXWEBMAIN-3D" x="2281" y="0"/>
                <g transform="translate(3244,0)">
                  <g transform="translate(120,0)">
                    <rect height="60" width="4027" x="0" y="220"/>
                    <g transform="translate(1595,676)">
                      <use xlink:href="#E1-STIXWEBNORMALI-1D44E" x="0" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-21" x="502" y="0"/>
                    </g>
                    <g transform="translate(60,-697)">
                      <use xlink:href="#E1-STIXWEBMAIN-28" x="0" y="0"/>
                      <use xlink:href="#E1-STIXWEBNORMALI-1D44E" x="333" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-2212" x="1058" y="0"/>
                      <use xlink:href="#E1-STIXWEBNORMALI-1D44F" x="1965" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-29" x="2436" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-21" x="2769" y="0"/>
                      <use xlink:href="#E1-STIXWEBNORMALI-1D44F" x="3103" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-21" x="3573" y="0"/>
                    </g>
                  </g>
                </g>
              </g>
            </svg>
          </artwork>
          <artwork type="ascii-art" align="center"><![CDATA[                    a !
binom{a}{b} = {--------------}
               (a - b) ! b !
]]></artwork>
        </artset>
      </figure>
      <section anchor="no-per-organization-limit">
        <name>No per-organization limit</name>
        <t>The first computation assumes there is no limit of two per organization,
or equivalently, no organization produces more than two volunteers.</t>
        <t>Let L be the number of "legitimate" volunteers (i.e. those not allied with an
attacker" and A be the number of attacking volunteers. Then there are</t>
        <artset>
          <artwork type="svg"><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" height="6.176ex" role="img" viewBox="0 -1580.7 4056.9 2659.1" width="9.423ex">
              <defs>
                <path d="M304 -161l-12 -16c-158 90 -244 259 -244 429c0 185 87 329 247 424l9 -16c-139 -119 -170 -212 -170 -405c0 -186 30 -299 170 -416Z" id="E1-STIXWEBMAIN-28" stroke-width="1"/>
                <path d="M667 -346v-48c-284 267 -485 689 -485 1230c0 538 201 1002 485 1230v-44c-178 -184 -375 -580 -375 -1186c0 -613 197 -962 375 -1182Z" id="E1-STIXWEBSIZE3-28" stroke-width="1"/>
                <path d="M668 190l-61 -190h-569l4 16h17c75 0 99 28 107 62l118 477c4 16 7 36 7 45c0 19 -14 37 -76 37h-18l4 16h327l-4 -16h-18c-75 0 -96 -26 -105 -63l-122 -481c-4 -15 -5 -29 -5 -31c0 -22 28 -24 40 -24h122c102 0 153 22 199 115c7 11 12 23 17 37h16Z" id="E1-STIXWEBNORMALI-1D43F" stroke-width="1"/>
                <path d="M636 220h-261v-261h-66v261h-261v66h261v261h66v-261h261v-66Z" id="E1-STIXWEBMAIN-2B" stroke-width="1"/>
                <path d="M685 0h-285v16h16c56 0 72 21 72 61c0 6 -1 14 -2 21l-13 113h-198l-84 -140c-7 -8 -10 -19 -10 -26c1 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l356 577h18l78 -581c7 -49 32 -70 74 -70h16v-16zM466 248l-25 227h-6l-139 -227h170Z" id="E1-STIXWEBNORMALI-1D434" stroke-width="1"/>
                <path d="M394 0h-276v15c74 4 95 25 95 80v449c0 34 -9 49 -30 49c-10 0 -27 -5 -45 -12l-27 -10v14l179 91l9 -3v-597c0 -43 20 -61 95 -61v-15Z" id="E1-STIXWEBMAIN-31" stroke-width="1"/>
                <path d="M476 330c0 -172 -63 -344 -226 -344c-171 0 -226 186 -226 350c0 177 69 340 230 340c131 0 222 -141 222 -346zM380 325c0 208 -44 325 -132 325c-83 0 -128 -118 -128 -321s44 -317 130 -317c85 0 130 115 130 313Z" id="E1-STIXWEBMAIN-30" stroke-width="1"/>
                <path d="M29 660l12 16c153 -92 244 -259 244 -429c0 -185 -88 -327 -247 -424l-9 16c142 117 170 211 170 405c0 187 -25 302 -170 416Z" id="E1-STIXWEBMAIN-29" stroke-width="1"/>
                <path d="M83 2018v48c284 -267 485 -685 485 -1230c0 -534 -201 -1002 -485 -1230v44c178 184 375 580 375 1186c0 614 -197 965 -375 1182Z" id="E1-STIXWEBSIZE3-29" stroke-width="1"/>
              </defs>
              <g fill="black" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)">
                <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                <g transform="translate(750,0)">
                  <g transform="translate(0,676)">
                    <use xlink:href="#E1-STIXWEBNORMALI-1D43F" x="0" y="0"/>
                    <use xlink:href="#E1-STIXWEBMAIN-2B" x="930" y="0"/>
                    <use xlink:href="#E1-STIXWEBNORMALI-1D434" x="1838" y="0"/>
                  </g>
                  <g transform="translate(777,-686)">
                    <use xlink:href="#E1-STIXWEBMAIN-31"/>
                    <use xlink:href="#E1-STIXWEBMAIN-30" x="500" y="0"/>
                  </g>
                </g>
                <use xlink:href="#E1-STIXWEBSIZE3-29" x="3306" y="-586"/>
              </g>
            </svg>
          </artwork>
          <artwork type="ascii-art"><![CDATA[binom{L + A}{10}
]]></artwork>
        </artset>
        <t>ways to select a NomCom. The number of outcomes where attackers capture the
NomCom is</t>
        <figure anchor="peq2">
          <artset>
            <artwork type="svg" align="center"><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" height="7.509ex" role="img" viewBox="0 -1867.7 8638.1 3233.2" width="20.063ex">
                <defs>
                  <path d="M1202 465l-74 -416h-1038l557 735l-521 715h976v-351h-36c0 19 -7 45 -11 65c-28 131 -95 183 -162 191c-28 4 -71 5 -106 5h-377l411 -564l-470 -613h568c139 0 208 69 244 233h39Z" id="E1-STIXWEBSIZE1-2211" stroke-width="1"/>
                  <path d="M257 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM227 441l-92 -364c-1 -6 -1 -10 -1 -14c0 -7 6 -10 13 -10c22 0 28 12 64 51l13 -10c-35 -45 -85 -105 -134 -105c-28 0 -40 19 -40 46c0 12 0 31 79 338c1 2 2 9 2 12 c0 17 -8 22 -31 22c-9 0 -21 -2 -28 -4l-3 16Z" id="E1-STIXWEBNORMALI-1D456" stroke-width="1"/>
                  <path d="M637 320h-589v66h589v-66zM637 120h-589v66h589v-66Z" id="E1-STIXWEBMAIN-3D" stroke-width="1"/>
                  <path d="M446 684l2 -16c-157 -26 -269 -134 -296 -285c49 38 83 45 127 45c117 0 189 -80 189 -209c0 -64 -18 -120 -51 -160c-37 -46 -93 -73 -159 -73c-79 0 -142 37 -177 101c-28 51 -47 122 -47 192c0 108 38 203 109 276c86 90 165 114 303 129zM378 188 c0 128 -42 194 -135 194c-57 0 -116 -24 -116 -116c0 -152 48 -252 142 -252c72 0 109 72 109 174Z" id="E1-STIXWEBMAIN-36" stroke-width="1"/>
                  <path d="M394 0h-276v15c74 4 95 25 95 80v449c0 34 -9 49 -30 49c-10 0 -27 -5 -45 -12l-27 -10v14l179 91l9 -3v-597c0 -43 20 -61 95 -61v-15Z" id="E1-STIXWEBMAIN-31" stroke-width="1"/>
                  <path d="M476 330c0 -172 -63 -344 -226 -344c-171 0 -226 186 -226 350c0 177 69 340 230 340c131 0 222 -141 222 -346zM380 325c0 208 -44 325 -132 325c-83 0 -128 -118 -128 -321s44 -317 130 -317c85 0 130 115 130 313Z" id="E1-STIXWEBMAIN-30" stroke-width="1"/>
                  <path d="M299 -156h-211v818h211v-25h-83c-34 0 -52 -12 -52 -48v-666c0 -40 19 -54 52 -54h83v-25Z" id="E1-STIXWEBMAIN-5B" stroke-width="1"/>
                  <path d="M304 -161l-12 -16c-158 90 -244 259 -244 429c0 185 87 329 247 424l9 -16c-139 -119 -170 -212 -170 -405c0 -186 30 -299 170 -416Z" id="E1-STIXWEBMAIN-28" stroke-width="1"/>
                  <path d="M667 -346v-48c-284 267 -485 689 -485 1230c0 538 201 1002 485 1230v-44c-178 -184 -375 -580 -375 -1186c0 -613 197 -962 375 -1182Z" id="E1-STIXWEBSIZE3-28" stroke-width="1"/>
                  <path d="M685 0h-285v16h16c56 0 72 21 72 61c0 6 -1 14 -2 21l-13 113h-198l-84 -140c-7 -8 -10 -19 -10 -26c1 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l356 577h18l78 -581c7 -49 32 -70 74 -70h16v-16zM466 248l-25 227h-6l-139 -227h170Z" id="E1-STIXWEBNORMALI-1D434" stroke-width="1"/>
                  <path d="M29 660l12 16c153 -92 244 -259 244 -429c0 -185 -88 -327 -247 -424l-9 16c142 117 170 211 170 405c0 187 -25 302 -170 416Z" id="E1-STIXWEBMAIN-29" stroke-width="1"/>
                  <path d="M83 2018v48c284 -267 485 -685 485 -1230c0 -534 -201 -1002 -485 -1230v44c178 184 375 580 375 1186c0 614 -197 965 -375 1182Z" id="E1-STIXWEBSIZE3-29" stroke-width="1"/>
                  <path d="M668 190l-61 -190h-569l4 16h17c75 0 99 28 107 62l118 477c4 16 7 36 7 45c0 19 -14 37 -76 37h-18l4 16h327l-4 -16h-18c-75 0 -96 -26 -105 -63l-122 -481c-4 -15 -5 -29 -5 -31c0 -22 28 -24 40 -24h122c102 0 153 22 199 115c7 11 12 23 17 37h16Z" id="E1-STIXWEBNORMALI-1D43F" stroke-width="1"/>
                  <path d="M621 220h-557v66h557v-66Z" id="E1-STIXWEBMAIN-2212" stroke-width="1"/>
                  <path d="M245 -156h-211v25h88c35 0 47 15 47 46v668c0 35 -13 54 -51 54h-84v25h211v-818Z" id="E1-STIXWEBMAIN-5D" stroke-width="1"/>
                  <path d="M491 2022h-171v-2372h170v-44h-265v2460h266v-44Z" id="E1-STIXWEBSIZE3-5B" stroke-width="1"/>
                  <path d="M283 -394h-266v44h171v2372h-171v44h266v-2460Z" id="E1-STIXWEBSIZE3-5D" stroke-width="1"/>
                </defs>
                <g fill="black" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)">
                  <use xlink:href="#E1-STIXWEBSIZE1-2211" x="0" y="-524"/>
                  <g transform="translate(116,-1128)">
                    <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="0" y="0"/>
                    <use xlink:href="#E1-STIXWEBMAIN-3D" transform="scale(0.707)" x="311" y="0"/>
                    <use xlink:href="#E1-STIXWEBMAIN-36" transform="scale(0.707)" x="997" y="0"/>
                  </g>
                  <g transform="translate(292,1176)">
                    <use xlink:href="#E1-STIXWEBMAIN-31" transform="scale(0.707)"/>
                    <use xlink:href="#E1-STIXWEBMAIN-30" transform="scale(0.707)" x="500" y="0"/>
                  </g>
                  <g transform="translate(1459,0)">
                    <use xlink:href="#E1-STIXWEBSIZE3-5B" x="0" y="-586"/>
                    <g transform="translate(508,0)">
                      <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                      <g transform="translate(750,0)">
                        <use xlink:href="#E1-STIXWEBNORMALI-1D434" x="0" y="676"/>
                        <use xlink:href="#E1-STIXWEBNORMALI-1D456" x="203" y="-686"/>
                      </g>
                      <use xlink:href="#E1-STIXWEBSIZE3-29" x="1468" y="-586"/>
                    </g>
                    <g transform="translate(2727,0)">
                      <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                      <g transform="translate(750,0)">
                        <use xlink:href="#E1-STIXWEBNORMALI-1D43F" x="866" y="676"/>
                        <g transform="translate(0,-686)">
                          <use xlink:href="#E1-STIXWEBMAIN-31"/>
                          <use xlink:href="#E1-STIXWEBMAIN-30" x="500" y="0"/>
                          <use xlink:href="#E1-STIXWEBMAIN-2212" x="1223" y="0"/>
                          <use xlink:href="#E1-STIXWEBNORMALI-1D456" x="2130" y="0"/>
                        </g>
                      </g>
                      <use xlink:href="#E1-STIXWEBSIZE3-29" x="3192" y="-586"/>
                    </g>
                    <use xlink:href="#E1-STIXWEBSIZE3-5D" x="6670" y="-586"/>
                  </g>
                </g>
              </svg>
            </artwork>
            <artwork type="ascii-art" align="center"><![CDATA[ __ 10
\        [binom{A}{i}binom{L}{10 - i}]
/__ i = 6
]]></artwork>
          </artset>
        </figure>
        <t>and the probability of capture is therefore</t>
        <figure anchor="peq3">
          <artset>
            <artwork type="svg" align="center"><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" height="7.843ex" role="img" viewBox="0 -1939.5 5613.3 3376.7" width="13.037ex">
                <defs>
                  <path d="M1202 465l-74 -416h-1038l557 735l-521 715h976v-351h-36c0 19 -7 45 -11 65c-28 131 -95 183 -162 191c-28 4 -71 5 -106 5h-377l411 -564l-470 -613h568c139 0 208 69 244 233h39Z" id="E1-STIXWEBSIZE1-2211" stroke-width="1"/>
                  <path d="M257 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM227 441l-92 -364c-1 -6 -1 -10 -1 -14c0 -7 6 -10 13 -10c22 0 28 12 64 51l13 -10c-35 -45 -85 -105 -134 -105c-28 0 -40 19 -40 46c0 12 0 31 79 338c1 2 2 9 2 12 c0 17 -8 22 -31 22c-9 0 -21 -2 -28 -4l-3 16Z" id="E1-STIXWEBNORMALI-1D456" stroke-width="1"/>
                  <path d="M637 320h-589v66h589v-66zM637 120h-589v66h589v-66Z" id="E1-STIXWEBMAIN-3D" stroke-width="1"/>
                  <path d="M446 684l2 -16c-157 -26 -269 -134 -296 -285c49 38 83 45 127 45c117 0 189 -80 189 -209c0 -64 -18 -120 -51 -160c-37 -46 -93 -73 -159 -73c-79 0 -142 37 -177 101c-28 51 -47 122 -47 192c0 108 38 203 109 276c86 90 165 114 303 129zM378 188 c0 128 -42 194 -135 194c-57 0 -116 -24 -116 -116c0 -152 48 -252 142 -252c72 0 109 72 109 174Z" id="E1-STIXWEBMAIN-36" stroke-width="1"/>
                  <path d="M394 0h-276v15c74 4 95 25 95 80v449c0 34 -9 49 -30 49c-10 0 -27 -5 -45 -12l-27 -10v14l179 91l9 -3v-597c0 -43 20 -61 95 -61v-15Z" id="E1-STIXWEBMAIN-31" stroke-width="1"/>
                  <path d="M476 330c0 -172 -63 -344 -226 -344c-171 0 -226 186 -226 350c0 177 69 340 230 340c131 0 222 -141 222 -346zM380 325c0 208 -44 325 -132 325c-83 0 -128 -118 -128 -321s44 -317 130 -317c85 0 130 115 130 313Z" id="E1-STIXWEBMAIN-30" stroke-width="1"/>
                  <path d="M304 -161l-12 -16c-158 90 -244 259 -244 429c0 185 87 329 247 424l9 -16c-139 -119 -170 -212 -170 -405c0 -186 30 -299 170 -416Z" id="E1-STIXWEBMAIN-28" stroke-width="1"/>
                  <path d="M382 -134v-30c-142 134 -243 343 -243 615c0 267 101 481 243 615v-30c-90 -110 -162 -282 -162 -585c0 -306 72 -475 162 -585Z" id="E1-STIXWEBSIZE1-28" stroke-width="1"/>
                  <path d="M685 0h-285v16h16c56 0 72 21 72 61c0 6 -1 14 -2 21l-13 113h-198l-84 -140c-7 -8 -10 -19 -10 -26c1 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l356 577h18l78 -581c7 -49 32 -70 74 -70h16v-16zM466 248l-25 227h-6l-139 -227h170Z" id="E1-STIXWEBNORMALI-1D434" stroke-width="1"/>
                  <path d="M29 660l12 16c153 -92 244 -259 244 -429c0 -185 -88 -327 -247 -424l-9 16c142 117 170 211 170 405c0 187 -25 302 -170 416Z" id="E1-STIXWEBMAIN-29" stroke-width="1"/>
                  <path d="M86 1036v30c142 -134 243 -343 243 -615c0 -267 -101 -481 -243 -615v30c90 110 162 282 162 585c0 306 -72 475 -162 585Z" id="E1-STIXWEBSIZE1-29" stroke-width="1"/>
                  <path d="M668 190l-61 -190h-569l4 16h17c75 0 99 28 107 62l118 477c4 16 7 36 7 45c0 19 -14 37 -76 37h-18l4 16h327l-4 -16h-18c-75 0 -96 -26 -105 -63l-122 -481c-4 -15 -5 -29 -5 -31c0 -22 28 -24 40 -24h122c102 0 153 22 199 115c7 11 12 23 17 37h16Z" id="E1-STIXWEBNORMALI-1D43F" stroke-width="1"/>
                  <path d="M621 220h-557v66h557v-66Z" id="E1-STIXWEBMAIN-2212" stroke-width="1"/>
                  <path d="M636 220h-261v-261h-66v261h-261v66h261v261h66v-261h261v-66Z" id="E1-STIXWEBMAIN-2B" stroke-width="1"/>
                </defs>
                <g fill="black" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)">
                  <use xlink:href="#E1-STIXWEBSIZE1-2211" x="0" y="-524"/>
                  <g transform="translate(116,-1128)">
                    <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="0" y="0"/>
                    <use xlink:href="#E1-STIXWEBMAIN-3D" transform="scale(0.707)" x="311" y="0"/>
                    <use xlink:href="#E1-STIXWEBMAIN-36" transform="scale(0.707)" x="997" y="0"/>
                  </g>
                  <g transform="translate(292,1176)">
                    <use xlink:href="#E1-STIXWEBMAIN-31" transform="scale(0.707)"/>
                    <use xlink:href="#E1-STIXWEBMAIN-30" transform="scale(0.707)" x="500" y="0"/>
                  </g>
                  <g transform="translate(1459,0)">
                    <g transform="translate(120,0)">
                      <rect height="60" width="3914" x="0" y="220"/>
                      <g transform="translate(60,893)">
                        <use xlink:href="#E1-STIXWEBSIZE1-28" x="0" y="-201"/>
                        <g transform="translate(468,0)">
                          <use xlink:href="#E1-STIXWEBNORMALI-1D434" transform="scale(0.707)" x="0" y="627"/>
                          <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="203" y="-488"/>
                        </g>
                        <use xlink:href="#E1-STIXWEBSIZE1-29" x="975" y="-201"/>
                        <g transform="translate(1444,0)">
                          <use xlink:href="#E1-STIXWEBSIZE1-28" x="0" y="-201"/>
                          <g transform="translate(468,0)">
                            <use xlink:href="#E1-STIXWEBNORMALI-1D43F" transform="scale(0.707)" x="644" y="627"/>
                            <g transform="translate(0,-345)">
                              <use xlink:href="#E1-STIXWEBMAIN-31" transform="scale(0.707)"/>
                              <use xlink:href="#E1-STIXWEBMAIN-30" transform="scale(0.707)" x="500" y="0"/>
                              <use xlink:href="#E1-STIXWEBMAIN-2212" transform="scale(0.707)" x="1001" y="0"/>
                              <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="1686" y="0"/>
                            </g>
                          </g>
                          <use xlink:href="#E1-STIXWEBSIZE1-29" x="1881" y="-201"/>
                        </g>
                      </g>
                      <g transform="translate(742,-936)">
                        <use xlink:href="#E1-STIXWEBSIZE1-28" x="0" y="-201"/>
                        <g transform="translate(468,0)">
                          <g transform="translate(0,443)">
                            <use xlink:href="#E1-STIXWEBNORMALI-1D43F" transform="scale(0.707)" x="0" y="0"/>
                            <use xlink:href="#E1-STIXWEBMAIN-2B" transform="scale(0.707)" x="708" y="0"/>
                            <use xlink:href="#E1-STIXWEBNORMALI-1D434" transform="scale(0.707)" x="1394" y="0"/>
                          </g>
                          <g transform="translate(392,-345)">
                            <use xlink:href="#E1-STIXWEBMAIN-31" transform="scale(0.707)"/>
                            <use xlink:href="#E1-STIXWEBMAIN-30" transform="scale(0.707)" x="500" y="0"/>
                          </g>
                        </g>
                        <use xlink:href="#E1-STIXWEBSIZE1-29" x="1961" y="-201"/>
                      </g>
                    </g>
                  </g>
                </g>
              </svg>
            </artwork>
            <artwork type="ascii-art" align="center"><![CDATA[ __ 10    binom{A}{i}binom{L}{10 - i}
\        {---------------------------}
/__ i = 6      binom{L + A}{10}
]]></artwork>
          </artset>
        </figure>
        <t>For L = 300, this probability crosses 50% at A = 365.</t>
      </section>
      <section anchor="two-per-organization">
        <name>Two per Organization</name>
        <t>Assume that the population of L is drawn from L different organizations (this
assumption is unfavorable to the attacker). Assume also that there are three
conspiring organizations. Then no more than 6 members can be drawn from A.</t>
        <t>Let B be the number of nominees per attacking organization, so that A = 3B.</t>
        <t>The number of combinations to pick exactly N attackers, N &lt;= 6, is</t>
        <figure anchor="peq4">
          <artset>
            <artwork type="svg" align="center"><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" height="7.676ex" role="img" viewBox="0 -1867.7 30541.9 3304.9" width="70.936ex">
                <defs>
                  <path d="M711 659l-53 -223h-16c1 8 1 17 1 42c0 65 -31 144 -152 144c-201 0 -319 -201 -319 -372c0 -112 60 -214 195 -214c98 0 171 49 216 98c7 7 12 13 17 20l20 -13c-27 -41 -60 -71 -89 -92c-78 -55 -154 -61 -193 -61c-193 0 -288 131 -288 278c0 230 201 393 443 393 c54 0 106 -27 158 -27c11 0 27 2 42 27h18Z" id="E1-STIXWEBNORMALI-1D436" stroke-width="1"/>
                  <path d="M304 -161l-12 -16c-158 90 -244 259 -244 429c0 185 87 329 247 424l9 -16c-139 -119 -170 -212 -170 -405c0 -186 30 -299 170 -416Z" id="E1-STIXWEBMAIN-28" stroke-width="1"/>
                  <path d="M901 653l-4 -16h-18c-75 0 -98 -26 -107 -63l-144 -574h-24l-274 526h-6l-108 -448c-2 -8 -3 -16 -3 -27c0 -20 17 -35 76 -35h19l-4 -16h-266l4 16h18c75 0 98 28 106 62l126 509c-19 43 -62 50 -92 50h-19l4 16h200l236 -465h5l97 386c2 9 4 16 4 26 c0 20 -17 37 -76 37h-20l4 16h266Z" id="E1-STIXWEBNORMALI-1D441" stroke-width="1"/>
                  <path d="M29 660l12 16c153 -92 244 -259 244 -429c0 -185 -88 -327 -247 -424l-9 16c142 117 170 211 170 405c0 187 -25 302 -170 416Z" id="E1-STIXWEBMAIN-29" stroke-width="1"/>
                  <path d="M637 320h-589v66h589v-66zM637 120h-589v66h589v-66Z" id="E1-STIXWEBMAIN-3D" stroke-width="1"/>
                  <path d="M667 -346v-48c-284 267 -485 689 -485 1230c0 538 201 1002 485 1230v-44c-178 -184 -375 -580 -375 -1186c0 -613 197 -962 375 -1182Z" id="E1-STIXWEBSIZE3-28" stroke-width="1"/>
                  <path d="M668 190l-61 -190h-569l4 16h17c75 0 99 28 107 62l118 477c4 16 7 36 7 45c0 19 -14 37 -76 37h-18l4 16h327l-4 -16h-18c-75 0 -96 -26 -105 -63l-122 -481c-4 -15 -5 -29 -5 -31c0 -22 28 -24 40 -24h122c102 0 153 22 199 115c7 11 12 23 17 37h16Z" id="E1-STIXWEBNORMALI-1D43F" stroke-width="1"/>
                  <path d="M394 0h-276v15c74 4 95 25 95 80v449c0 34 -9 49 -30 49c-10 0 -27 -5 -45 -12l-27 -10v14l179 91l9 -3v-597c0 -43 20 -61 95 -61v-15Z" id="E1-STIXWEBMAIN-31" stroke-width="1"/>
                  <path d="M476 330c0 -172 -63 -344 -226 -344c-171 0 -226 186 -226 350c0 177 69 340 230 340c131 0 222 -141 222 -346zM380 325c0 208 -44 325 -132 325c-83 0 -128 -118 -128 -321s44 -317 130 -317c85 0 130 115 130 313Z" id="E1-STIXWEBMAIN-30" stroke-width="1"/>
                  <path d="M621 220h-557v66h557v-66Z" id="E1-STIXWEBMAIN-2212" stroke-width="1"/>
                  <path d="M83 2018v48c284 -267 485 -685 485 -1230c0 -534 -201 -1002 -485 -1230v44c178 184 375 580 375 1186c0 614 -197 965 -375 1182Z" id="E1-STIXWEBSIZE3-29" stroke-width="1"/>
                  <path d="M1202 465l-74 -416h-1038l557 735l-521 715h976v-351h-36c0 19 -7 45 -11 65c-28 131 -95 183 -162 191c-28 4 -71 5 -106 5h-377l411 -564l-470 -613h568c139 0 208 69 244 233h39Z" id="E1-STIXWEBSIZE1-2211" stroke-width="1"/>
                  <path d="M257 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM227 441l-92 -364c-1 -6 -1 -10 -1 -14c0 -7 6 -10 13 -10c22 0 28 12 64 51l13 -10c-35 -45 -85 -105 -134 -105c-28 0 -40 19 -40 46c0 12 0 31 79 338c1 2 2 9 2 12 c0 17 -8 22 -31 22c-9 0 -21 -2 -28 -4l-3 16Z" id="E1-STIXWEBNORMALI-1D456" stroke-width="1"/>
                  <path d="M667 107l13 -11c-32 -54 -84 -104 -131 -104c-22 0 -39 10 -39 49c0 7 1 17 6 37l56 221c4 14 6 23 6 40c0 20 -6 38 -24 38c-54 0 -164 -181 -179 -242l-34 -135h-79l77 299c2 9 5 25 5 40c0 20 -5 38 -23 38c-52 0 -162 -181 -178 -242l-35 -135h-78l95 374 c0 18 -6 31 -33 31c-8 0 -19 -1 -27 -2l-2 14l157 24l-44 -169h6c94 143 154 169 192 169c37 0 55 -37 55 -81c0 -17 -3 -32 -9 -52l-10 -36h5c29 52 81 114 130 147c22 15 41 22 61 22c36 0 54 -26 54 -71c0 -18 -1 -37 -7 -61l-61 -231c-1 -3 -2 -9 -2 -12 c0 -8 6 -12 15 -12c17 0 43 16 62 53Z" id="E1-STIXWEBNORMALI-1D45A" stroke-width="1"/>
                  <path d="M467 96l-5 -6c-28 -34 -76 -98 -128 -98c-32 0 -41 23 -41 46c0 13 4 29 7 40l57 221c2 8 7 28 7 42c0 19 -6 38 -24 38c-38 0 -101 -86 -132 -133c-36 -54 -62 -101 -68 -122l-33 -124h-77l95 374c0 18 -3 32 -30 32c-10 0 -21 -2 -28 -3l-2 15l159 23l-51 -189h3 c5 0 54 70 56 73c40 50 100 116 160 116c44 0 56 -29 56 -62c0 -25 -6 -50 -11 -70l-59 -231c-1 -2 -1 -5 -1 -10c1 -6 4 -14 15 -14c24 0 48 36 62 53Z" id="E1-STIXWEBNORMALI-1D45B" stroke-width="1"/>
                  <path d="M83 -141l-10 19c55 37 83 74 83 107c0 7 -6 13 -14 13s-18 -4 -29 -4c-37 0 -58 17 -58 51s24 57 60 57c45 0 80 -35 80 -87c0 -60 -43 -123 -112 -156Z" id="E1-STIXWEBMAIN-2C" stroke-width="1"/>
                  <path d="M474 137l-54 -137h-391v12l178 189c94 99 130 175 130 260c0 91 -54 141 -139 141c-72 0 -107 -32 -147 -130l-21 5c21 117 85 199 208 199c113 0 185 -77 185 -176c0 -79 -39 -154 -128 -248l-165 -176h234c42 0 63 11 96 67Z" id="E1-STIXWEBMAIN-32" stroke-width="1"/>
                  <path d="M299 -156h-211v818h211v-25h-83c-34 0 -52 -12 -52 -48v-666c0 -40 19 -54 52 -54h83v-25Z" id="E1-STIXWEBMAIN-5B" stroke-width="1"/>
                  <path d="M198 653h252c84 0 236 -9 236 -145c0 -78 -43 -123 -91 -147c-25 -13 -54 -21 -74 -26l3 -4c60 -11 127 -53 127 -138c0 -99 -82 -193 -289 -193h-324l4 16h20c76 0 95 29 103 63l123 495c1 5 2 15 2 21c0 26 -19 42 -78 42h-19zM406 611l-59 -252c20 -4 38 -6 53 -6 c112 0 168 66 168 163c0 77 -65 98 -119 98c-15 0 -30 -1 -43 -3zM338 314l-68 -267c25 -7 45 -9 71 -9c94 0 190 42 190 172c0 73 -64 108 -142 108c-16 0 -36 0 -51 -4Z" id="E1-STIXWEBNORMALI-1D435" stroke-width="1"/>
                  <path d="M372 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM351 441l-108 -425c-22 -88 -78 -203 -186 -203c-53 0 -73 33 -73 61c0 22 12 52 47 52c19 0 35 -15 35 -38c0 -15 -16 -18 -16 -34c0 -4 5 -10 10 -10c46 0 79 76 103 172 l92 363c0 12 -10 22 -32 22c-8 0 -20 -2 -27 -5l-3 17Z" id="E1-STIXWEBNORMALI-1D457" stroke-width="1"/>
                  <path d="M245 -156h-211v25h88c35 0 47 15 47 46v668c0 35 -13 54 -51 54h-84v25h211v-818Z" id="E1-STIXWEBMAIN-5D" stroke-width="1"/>
                  <path d="M634 -509h-339v3075h339v-56h-244v-2963h244v-56Z" id="E1-STIXWEBSIZE4-5B" stroke-width="1"/>
                  <path d="M366 -509h-339v56h244v2963h-244v56h339v-3075Z" id="E1-STIXWEBSIZE4-5D" stroke-width="1"/>
                </defs>
                <g fill="black" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)">
                  <use xlink:href="#E1-STIXWEBNORMALI-1D436" x="0" y="0"/>
                  <use xlink:href="#E1-STIXWEBMAIN-28" x="711" y="0"/>
                  <use xlink:href="#E1-STIXWEBNORMALI-1D441" x="1045" y="0"/>
                  <use xlink:href="#E1-STIXWEBMAIN-29" x="1946" y="0"/>
                  <use xlink:href="#E1-STIXWEBMAIN-3D" x="2557" y="0"/>
                  <g transform="translate(3521,0)">
                    <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                    <g transform="translate(750,0)">
                      <use xlink:href="#E1-STIXWEBNORMALI-1D43F" x="1161" y="676"/>
                      <g transform="translate(0,-686)">
                        <use xlink:href="#E1-STIXWEBMAIN-31"/>
                        <use xlink:href="#E1-STIXWEBMAIN-30" x="500" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-2212" x="1223" y="0"/>
                        <use xlink:href="#E1-STIXWEBNORMALI-1D441" x="2130" y="0"/>
                      </g>
                    </g>
                    <use xlink:href="#E1-STIXWEBSIZE3-29" x="3782" y="-586"/>
                  </g>
                  <g transform="translate(8221,0)">
                    <use xlink:href="#E1-STIXWEBSIZE1-2211" x="711" y="-524"/>
                    <g transform="translate(827,-1122)">
                      <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="0" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-3D" transform="scale(0.707)" x="311" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-30" transform="scale(0.707)" x="997" y="0"/>
                    </g>
                    <g transform="translate(0,1212)">
                      <use xlink:href="#E1-STIXWEBNORMALI-1D45A" transform="scale(0.707)" x="0" y="0"/>
                      <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="710" y="0"/>
                      <use xlink:href="#E1-STIXWEBNORMALI-1D45B" transform="scale(0.707)" x="1022" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-28" transform="scale(0.707)" x="1519" y="0"/>
                      <use xlink:href="#E1-STIXWEBNORMALI-1D441" transform="scale(0.707)" x="1852" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-2C" transform="scale(0.707)" x="2754" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-32" transform="scale(0.707)" x="3005" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-29" transform="scale(0.707)" x="3505" y="0"/>
                    </g>
                  </g>
                  <g transform="translate(11102,0)">
                    <use xlink:href="#E1-STIXWEBSIZE4-5B" x="0" y="-779"/>
                    <g transform="translate(661,0)">
                      <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                      <g transform="translate(750,0)">
                        <use xlink:href="#E1-STIXWEBNORMALI-1D435" x="0" y="676"/>
                        <use xlink:href="#E1-STIXWEBNORMALI-1D456" x="192" y="-686"/>
                      </g>
                      <use xlink:href="#E1-STIXWEBSIZE3-29" x="1447" y="-586"/>
                    </g>
                    <g transform="translate(3025,0)">
                      <use xlink:href="#E1-STIXWEBSIZE1-2211" x="1063" y="-524"/>
                      <g transform="translate(1152,-1122)">
                        <use xlink:href="#E1-STIXWEBNORMALI-1D457" transform="scale(0.707)" x="0" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-3D" transform="scale(0.707)" x="389" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-30" transform="scale(0.707)" x="1075" y="0"/>
                      </g>
                      <g transform="translate(0,1212)">
                        <use xlink:href="#E1-STIXWEBNORMALI-1D45A" transform="scale(0.707)" x="0" y="0"/>
                        <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="710" y="0"/>
                        <use xlink:href="#E1-STIXWEBNORMALI-1D45B" transform="scale(0.707)" x="1022" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-28" transform="scale(0.707)" x="1519" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-32" transform="scale(0.707)" x="1852" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-2C" transform="scale(0.707)" x="2353" y="0"/>
                        <use xlink:href="#E1-STIXWEBNORMALI-1D441" transform="scale(0.707)" x="2603" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-2212" transform="scale(0.707)" x="3505" y="0"/>
                        <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="4191" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-29" transform="scale(0.707)" x="4502" y="0"/>
                      </g>
                    </g>
                    <g transform="translate(6611,0)">
                      <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                      <g transform="translate(750,0)">
                        <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                        <g transform="translate(750,0)">
                          <use xlink:href="#E1-STIXWEBNORMALI-1D435" x="0" y="676"/>
                          <use xlink:href="#E1-STIXWEBNORMALI-1D457" x="153" y="-686"/>
                        </g>
                        <use xlink:href="#E1-STIXWEBSIZE3-29" x="1447" y="-586"/>
                      </g>
                      <g transform="translate(2948,0)">
                        <use xlink:href="#E1-STIXWEBSIZE3-28" x="0" y="-586"/>
                        <g transform="translate(750,0)">
                          <use xlink:href="#E1-STIXWEBNORMALI-1D435" x="3135" y="676"/>
                          <g transform="translate(0,-686)">
                            <use xlink:href="#E1-STIXWEBNORMALI-1D45A" x="0" y="0"/>
                            <use xlink:href="#E1-STIXWEBNORMALI-1D456" x="710" y="0"/>
                            <use xlink:href="#E1-STIXWEBNORMALI-1D45B" x="1022" y="0"/>
                            <use xlink:href="#E1-STIXWEBMAIN-28" x="1519" y="0"/>
                            <use xlink:href="#E1-STIXWEBMAIN-32" x="1853" y="0"/>
                            <use xlink:href="#E1-STIXWEBMAIN-2C" x="2353" y="0"/>
                            <use xlink:href="#E1-STIXWEBNORMALI-1D441" x="2770" y="0"/>
                            <use xlink:href="#E1-STIXWEBMAIN-2212" x="3894" y="0"/>
                            <use xlink:href="#E1-STIXWEBNORMALI-1D456" x="4802" y="0"/>
                            <use xlink:href="#E1-STIXWEBMAIN-2212" x="5335" y="0"/>
                            <use xlink:href="#E1-STIXWEBNORMALI-1D457" x="6243" y="0"/>
                            <use xlink:href="#E1-STIXWEBMAIN-29" x="6633" y="0"/>
                          </g>
                        </g>
                        <use xlink:href="#E1-STIXWEBSIZE3-29" x="7717" y="-586"/>
                      </g>
                      <use xlink:href="#E1-STIXWEBSIZE3-29" x="11415" y="-586"/>
                    </g>
                    <use xlink:href="#E1-STIXWEBSIZE4-5D" x="18777" y="-779"/>
                  </g>
                </g>
              </svg>
            </artwork>
            <artwork type="ascii-art" align="center"><![CDATA[                                               C(N) =

                              _                                                                    _
                 __ min(N, 2)|             __ min(2, N - i)                                         |
binom{L}{10 - N}\            | binom{B}{i}\                (binom{B}{j}binom{B}{min(2, N - i - j)}) |
                /__ i = 0    |_           /__ j = 0                                                _|
]]></artwork>
          </artset>
        </figure>
        <t>And the probability of capture is</t>
        <figure anchor="peq5">
          <artset>
            <artwork type="svg" align="center"><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" height="6.843ex" role="img" viewBox="0 -1508.9 4290.1 2946.1" width="9.964ex">
                <defs>
                  <path d="M711 659l-53 -223h-16c1 8 1 17 1 42c0 65 -31 144 -152 144c-201 0 -319 -201 -319 -372c0 -112 60 -214 195 -214c98 0 171 49 216 98c7 7 12 13 17 20l20 -13c-27 -41 -60 -71 -89 -92c-78 -55 -154 -61 -193 -61c-193 0 -288 131 -288 278c0 230 201 393 443 393 c54 0 106 -27 158 -27c11 0 27 2 42 27h18Z" id="E1-STIXWEBNORMALI-1D436" stroke-width="1"/>
                  <path d="M304 -161l-12 -16c-158 90 -244 259 -244 429c0 185 87 329 247 424l9 -16c-139 -119 -170 -212 -170 -405c0 -186 30 -299 170 -416Z" id="E1-STIXWEBMAIN-28" stroke-width="1"/>
                  <path d="M446 684l2 -16c-157 -26 -269 -134 -296 -285c49 38 83 45 127 45c117 0 189 -80 189 -209c0 -64 -18 -120 -51 -160c-37 -46 -93 -73 -159 -73c-79 0 -142 37 -177 101c-28 51 -47 122 -47 192c0 108 38 203 109 276c86 90 165 114 303 129zM378 188 c0 128 -42 194 -135 194c-57 0 -116 -24 -116 -116c0 -152 48 -252 142 -252c72 0 109 72 109 174Z" id="E1-STIXWEBMAIN-36" stroke-width="1"/>
                  <path d="M29 660l12 16c153 -92 244 -259 244 -429c0 -185 -88 -327 -247 -424l-9 16c142 117 170 211 170 405c0 187 -25 302 -170 416Z" id="E1-STIXWEBMAIN-29" stroke-width="1"/>
                  <path d="M856 40l-53 -299h-745l392 510l-367 512h747v-251h-30c-21 135 -59 185 -192 185h-320l290 -391l-336 -434h414c112 0 148 68 170 168h30Z" id="E1-STIXWEBOPERATORS-2211" stroke-width="1"/>
                  <path d="M257 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM227 441l-92 -364c-1 -6 -1 -10 -1 -14c0 -7 6 -10 13 -10c22 0 28 12 64 51l13 -10c-35 -45 -85 -105 -134 -105c-28 0 -40 19 -40 46c0 12 0 31 79 338c1 2 2 9 2 12 c0 17 -8 22 -31 22c-9 0 -21 -2 -28 -4l-3 16Z" id="E1-STIXWEBNORMALI-1D456" stroke-width="1"/>
                  <path d="M637 320h-589v66h589v-66zM637 120h-589v66h589v-66Z" id="E1-STIXWEBMAIN-3D" stroke-width="1"/>
                  <path d="M476 330c0 -172 -63 -344 -226 -344c-171 0 -226 186 -226 350c0 177 69 340 230 340c131 0 222 -141 222 -346zM380 325c0 208 -44 325 -132 325c-83 0 -128 -118 -128 -321s44 -317 130 -317c85 0 130 115 130 313Z" id="E1-STIXWEBMAIN-30" stroke-width="1"/>
                </defs>
                <g fill="black" stroke="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)">
                  <g transform="translate(120,0)">
                    <rect height="60" width="4050" x="0" y="220"/>
                    <g transform="translate(1085,697)">
                      <use xlink:href="#E1-STIXWEBNORMALI-1D436" x="0" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-28" x="711" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-36" x="1045" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-29" x="1545" y="0"/>
                    </g>
                    <g transform="translate(60,-993)">
                      <use xlink:href="#E1-STIXWEBOPERATORS-2211" x="0" y="-2"/>
                      <use xlink:href="#E1-STIXWEBMAIN-36" transform="scale(0.707)" x="1293" y="691"/>
                      <g transform="translate(914,-298)">
                        <use xlink:href="#E1-STIXWEBNORMALI-1D456" transform="scale(0.707)" x="0" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-3D" transform="scale(0.707)" x="311" y="0"/>
                        <use xlink:href="#E1-STIXWEBMAIN-30" transform="scale(0.707)" x="997" y="0"/>
                      </g>
                      <use xlink:href="#E1-STIXWEBNORMALI-1D436" x="2240" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-28" x="2951" y="0"/>
                      <use xlink:href="#E1-STIXWEBNORMALI-1D456" x="3285" y="0"/>
                      <use xlink:href="#E1-STIXWEBMAIN-29" x="3596" y="0"/>
                    </g>
                  </g>
                </g>
              </svg>
            </artwork>
            <artwork type="ascii-art" align="center"><![CDATA[     C(6)
{-------------}
  __ 6
 \        C(i)
 /__ i = 0
]]></artwork>
          </artset>
        </figure>
        <t>For L = 300, the A required to exceed a 50% probability of capture is 771.</t>
      </section>
    </section>
    <section anchor="change-log">
      <name>Change Log</name>
      <ul empty="true">
        <li>
          <t><strong>RFC Editor's Note:</strong> Please remove this section prior to
publication of a final version of this document.</t>
        </li>
      </ul>
      <section anchor="since-draft-duke-elegy-rfc8989bis-00">
        <name>Since draft-duke-elegy-rfc8989bis-00</name>
        <ul spacing="normal">
          <li>Added more security considerations</li>
          <li>Editorial improvements</li>
        </ul>
      </section>
      <section anchor="since-draft-duke-gendispatch-rfc8989bis-00">
        <name>Since draft-duke-gendispatch-rfc8989bis-00</name>
        <ul spacing="normal">
          <li>Matched normative section to RFC8989</li>
          <li>Added security considerations and appendix</li>
        </ul>
      </section>
    </section>
    <section anchor="acknowledgments">
      <name>Acknowledgments</name>
      <t>Brian Carpenter and Stephen Farrell wrote RFC8989, which provides the core of
this document.</t>
      <t>Luc Andre Burdet, Brian Carpenter, and Donald Eastlake provided useful
editorial suggestions.</t>
    </section>
  </back>
  <!-- ##markdown-source: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-->

</rfc>
