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<rfc category="std" docName="draft-moskowitz-hierarchical-hip-04.txt" ipr="trust200902">

<front>
<title abbrev="Hierarchical HITs">Hierarchical HITs for HIPv2</title>
	<author fullname="Robert Moskowitz" initials="R" surname="Moskowitz">
    <organization>Huawei</organization>
    <address>
      <postal> 
	    <street></street>
        <city>Oak Park</city>
        <region>MI</region>
        <code>48237</code>
        <country>USA</country>
      </postal>
      <email>rgm@labs.htt-consult.com</email>
	</address>
	</author>
	<author fullname="Xiaohu Xu" initials="X." surname="Xu">
	<organization>Huawei</organization>
	<address>
	  <postal>
	    <street>Huawei Bld, No.156 Beiqing Rd.</street>
	    <city>Beijing</city>
	    <region>Hai-Dian District</region>
	    <code>100095</code>
	    <country>China</country>
	  </postal>
	  <email>xuxiaohu@huawei.com</email>
	</address>
	</author>
	<author fullname="Bingyang Liu" initials="B." surname="Liu">
	<organization>Huawei</organization>
	<address>
	  <postal>
	    <street>Huawei Bld, No.156 Beiqing Rd.</street>
	    <city>Beijing</city>
	    <region>Hai-Dian District</region>
	    <code>100095</code>
	    <country>China</country>
	  </postal>
	  <email>xuxiaohu@huawei.com</email>
	</address>
	</author>
<date year="2017" />
   <area>Internet</area>
   <workgroup>HIP</workgroup>
    <keyword>RFC</keyword>
     <keyword>Request for Comments</keyword>
     <keyword>I-D</keyword>
     <keyword>Internet-Draft</keyword>
     <keyword>HIP</keyword>
<abstract>
<t>
	This document describes using a hierarchical HIT to facilitate large
	deployments in mobile networks. 
</t>
</abstract>
</front>
<middle>   
<section title="Introduction">
<t> 
	This document expands on <xref target="RFC7401">HIPv2</xref> to 
	describe the structure of a hierarchical HIT, the Registry services 
	to support this hierarchy, and given a hierarchical HIT, how a device 
	is found in the network.
</t> 
<t>
	Separate documents will further expand on the registry service and
	how a device can advertise its availability and services provided.
</t>
</section>
<section anchor="terms" title="Terms and Definitions">
	<section title="Requirements Terminology">
	<t>
		The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL 
		NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and 
		"OPTIONAL" in this document are to be interpreted as described 
		in <xref target="RFC2119">RFC 2119</xref>.
	</t>
	</section>
	<section title="Definitions">
	<t>
		<list style="hanging">
		<t hangText="HDA (Hierarchical HIT Domain Authority):">
			The 14 bit field identifying the HIT Domain Authority under a RAA.
		</t>
		<t hangText="HID (Hierarchy ID):">
			The 32 bit field providing the HIT Hierarchy ID.
		</t>
		<t hangText="RAA (Registered Assigning Authority):">
			The 18 bit field identifying the Hierarchical HIT Assigning 
			Authority.
		</t>
		</list>
	</t>
	</section>
</section>
<section anchor="prob-space" title="Problem Space">
<section title="Meeting the future of Mobile Networking">
<t>
	The evolution of mobile networking to greater bandwidth and faster 
	mobility will favor IP mobility technologies that optimize shortest 
	routing paths for both mobile-to-stationary and mobile-to-mobile 
	applications.  For this, devices will need to use the IP 
	address which provide the shortest path for where they are 
	physically in the mobile network.  The mobile device 
	will need services that will discover the IP addresses for their 
	peer mobile devices and keep them connected to those peers even 
	when both devices move in the network at the same time (the 
	double-jump problem).  In order to support these services, there 
	needs to be billable services to support the infrastructure.  
	In some area close tracking of mobile devices will be mandatory.  
	In other device obfuscation to protect privacy and/or safety will be the only 
	life-enabling approach.
</t>
<t>
	These conflicting requirements can be met with the Host Identity 
	Protocol (HIP), provided its Rendezvous Server service is scaleable 
	and manageable.  Providers of RVS will need both a viable and 
	scaleable business model.
</t>
</section>
<section title="Semi-permanency of Identities">
<t>
	A device Identity has some degree of permanency.  A device creates 
	its identity and registers it to some 3rd-party that will assert a 
	level of trust for that identity.  A device may have multiple 
	identities to use in different contexts, and it may deprecate an 
	identity for any number of reasons.  The asserting 3rd-party may 
	withdraw its assertion of an identity for any number of reasons.  An 
	identity system needs to facilitate all of this.
</t>
</section>
<section title="Managing a large flat address space">
<t>
	For HIP to be successfully used in large mobile networks, it must 
	support an Identity per device, or at least 10 billion Identities. 
	Perhaps a Distributed Hash Table <xref target="I-D.irtf-hiprg-dht"> 
	</xref> can scale this large.  There is still the operational 
	challenges in establishing such a world-wide DHT implementation and 
	how <xref target="RFC8004">RVS</xref> works with such a large 
	population.  There is also the challenge of how to turn this into a 
	viable business for the Mobile Network Providers.
</t>
<t>
	Even though the probability of collisions with 7B HITs (one HIT per 
	person) in a 96 bit flat address space is 3.9E-10, it is still 
	real.  How are collisions managed?  It is also possible that weak 
	key uniqueness, as has been shown in deployed TLS certificates, 
	results in a much greater probability of collisions.  Thus 
	resolution of collisions needs to be a feature in a globally mobile 
	network.
</t>
</section>
<section title="Defense against fraudulent HITs">
<t>
	How can a host protect against a fraudulent HIT?  That is, a second 
	pre-image attack on the HI hash that produces the HIT.  A strong 
	defense would require every HIT/HI registered and openly 
	verifiable.  This would best be done as part of the R1 and I2 
	validation.
</t>
</section>
<section title="Desire for administrative control by RVS providers">
<t>
	An RVS provider may only be willing to provide discovery (RVS) 
	services to HIP devices it knows and trusts.  A flat HIT space does 
	not provide any intrinsic functionality to support this.  A 
	hierarchical HIT space can be mapped to the RVS provider.  DNS can 
	effectively be used to provide the HIT to IP mapping without DHT.
</t>
<t>
	A hierarchical HIT space also creates a type of a business labeling 
	for the RVS provider.  "These are my customers."
</t>
</section>
</section>
<section anchor="HHIT" title="The Hierarchical Host Identity Tag (HIT)">
<t>
	The Hierarchical HIT is a small but important enhancement over the 
	flat HIT space.  It represents the HI in only a 64 bit hash and 
	uses the other 32 bits to create a hierarchical administration 
	organization for HIT domains.  Hierarchical HITs are <xref 
	target="RFC7343">ORCHIDs</xref>. The change in construction rules 
	are in <xref target="HCGA"/>.
</t>
<t>
	A Hierarchical HIT is built from the following fields:
	<list style="symbols">
		<t>
			28 bit IANA prefix
		</t>
		<t>
			4 bit HIT Suite ID
		</t>
		<t>
			32 bit Hierarchy ID (HID)
		</t>
		<t>
			64 bit ORCHID hash
		</t>
	</list>
</t>
<section anchor="HID" title="The Hierarchy ID (HID)">
<t>
	The Hierarchy ID (HID) provides the structure to organize HITs into
	administrative domains.  HIDs are further divided into 2 fields:
	<list style="symbols">
		<t>
			14 bit Registered Assigning Authority (RAA)
		</t>
		<t>
			18 bit Hierarchical HIT Domain Authority (HDA)
		</t>
	</list>
	
</t>
<section anchor="RAA" title="The Registered Assigning Authority (RAA)">
<t>
	An RAA is a business that manages a registry of HDAs.
</t>
<t>
	The RAA is a 14 bit field (16,384 RAAs) assigned sequentially by a 
	numbers management organization, perhaps ICANN's IANA service.  An 
	RAA must provide a set of services to allocate HDAs to 
	organizations. It must have a public policy on what is necessary to 
	obtain an HDA. The RAA need not maintain any HIP related services.  
	It must maintain a DNS zone for discovering HID RVS servers.
</t>
<t>
	This DNS zone may be a reverse PTR for its RAA.  Assume that the 
	RAA is 100.  The PTR record is constructed at a 2 bit grouping:
</t>
	<figure>
		<artwork>
0.1.2.1.0.0.0.hhit.arpa   IN PTR      raa.bar.com.
		</artwork>
	</figure>
</section>
<section anchor="HDA" 
	title="The Hierarchical HIT Domain Authority (HDA)">
<t>
	An HDA may be an ISP or any third party that takes on the business 
	to provide RVS and other needed services for HIP enabled devices.
</t>
<t>
	The HDA is an 18 bit field (262,144 HDAs per RAA) assigned 
	sequentially by an RAA.  An HDA should maintain a set of RVS 
	servers that its client HIP-enabled customers use.  How this is 
	done and scales to the potentially millions of customers is outside 
	the scope of this document.  This service should be discoverable 
	through the DNS zone maintained by the HDA's RAA.
</t>
<t>
	An RAA may assign a block of values to an individual organization.  
	This is completely up to the individual RAA's published policy for 
	delegation.
</t>
</section>
<section anchor="HIDDNS" title="Example of the HID DNS">
<t>
	HID related services should be discoverable via DNS.  For example 
	the RVS for a HID could be found via the following.  Assume that 
	the RAA is 100 and the HDA is 50.  The PTR record is constructed at 
	a 2 bit grouping:
</t>
	<figure>
		<artwork>
2.0.3.0.0.0.0.0.0.1.3.1.0.0.0.0.hhit.arpa   IN PTR      rvs.foo.com.
		</artwork>
	</figure>
<t>
	The RAA is running its zone, 1.3.1.0.0.0.0.hhit.arpa under the 
	hhit.arpa zone.
</t>
</section>
<section anchor="HCGA" title="Changes to ORCHIDv2 to support Hierarchical HITs">
<t>
	ORCHIDv2 <xref target="RFC7343"></xref> has a number of inputs 
	including a context, some header bits, the hash algorithm, and the 
	public key.  The output is a 96 bit value.  Hierarchical HIT makes 
	the following changes.  The HID is added as part of the header bits 
	and the output is a 64 bit value, derived the same way as the 96 
	bit hash.
</t>
<t>
	<figure>
	<artwork>
	Input      :=  HID | HOST_ID
	OGA ID     :=  4-bit Orchid Generation Algorithm identifier
				The HIT Suite ID = 0x40
	Hash Input :=  Context ID | Input
				Same Context ID as HIPv2
	Prefix	   :=  HIPv2 Prefix
	HID 	   :=  Hierarchy ID
	Hash       :=  Hash_function( Hash Input )
	Encode_64  :=  Same as Encode_96, but only 64 bits
	ORCHID     :=  Prefix | OGA ID | HID | Encode_64( Hash )
 </artwork>
 </figure>
</t>
<t>
	Hierarchical HIT uses the same context as all other HIPv2 HIT 
	Suites as they are clearly separated by the distinct HIT Suite ID.
</t>
</section>
<section anchor="Collision" title="Collision risks with Hierarchical HITs">
<t>
	The 64 bit hash size does have an increased risk of collisions over 
	the 96 bit hash size used for the other HIT Suites.  There is a 
	0.01% probability of a collision in a population of 66 million.  
	The probability goes up to 1% for a population of 663 million.  See 
	<xref target="Coll_Prob"/> for the collision probability formula.
</t>
<t>
	However, this risk of collision is within a single HDA.  Further, 
	all HDAs are expected to provide a registration process for reverse 
	lookup validation.  This registration process would reject a 
	collision, forcing the client to generate a new HI and thus 
	hierarchical HIT and reapplying to the registration process.
</t>
</section>
</section>
</section>
<section anchor="hippars" title="HIP Parameters">
	<t>
		The HIP parameters carry information that is necessary for 
		establishing and maintaining a HIP association.  For example, 
		the device's public keys as well as the signaling for negotiating 
		ciphers and payload handling are encapsulated in HIP 
		parameters.  Additional information, meaningful for end hosts 
		or middleboxes, may also be included in HIP parameters.  The 
		specification of the HIP parameters and their mapping to HIP 
		packets and packet types is flexible to allow HIP extensions to 
		define new parameters and new protocol behavior.
	</t>
<section anchor="hit_suite_list" title="HIT_SUITE_LIST">
	<t>
		The HIT_SUITE_LIST parameter contains a list of the supported 
		HIT suite IDs of the Responder. Based on the HIT_SUITE_LIST, 
		the Initiator can determine which source HIT Suite IDs are 
		supported by the Responder. The HIT_SUITE_LIST parameter is 
		defined in Section 5.2.10 of <xref target="RFC7401" />.
	</t>
	<t>
		The following HIT Suite IDs are defined for Hierarchical HITs, 
		and the relationship between the four-bit ID value used in the 
		OGA ID field and the eight-bit encoding within the 
		HIT_SUITE_LIST ID field is clarified:
	</t>
	<figure>
		<artwork>
HIT Suite              Four-bit ID    Eight-bit encoding

ECDSA/hier/SHA-256           4             0x40
		</artwork>
	</figure>

	<t>
		Note that the Hierarchical HIP HIT Suite ID allows the devices 
		to use the hierarchical RVS discovery and authentication 
		services to validate the peer and discover available services. 
		The Responder SHOULD respond with a HIP hierarchical HIT suite 
		ID when the HIT of the Initiator is a HIP hierarchical HIT.
	</t>
</section>
<section anchor="CLIENT_INFO" title="CLIENT_INFO">
	<figure>
		<artwork>
   0                   1                   2                   3
   0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
  +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
  |             Type              |             Length            |
  +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
  /                      Client Information                       /
  /                                                               /
  /                               +-------------------------------+
  /                               |            Padding            |
  +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

  Type           [TBD-IANA]
  Length         length in octets, excluding Type, Length, and
                 Padding
  Client         The information required by the HDA in the format
  Information    required by the HDA.
		</artwork>
	</figure>
<t>
	This parameter contains client information to include in the HIT 
	registration.  The specific content and format is set by the HDA.
</t>
</section>
</section>
<section title="HHIT Registry services to support hierarchical HITs">
<t>
	Hierarchical HIT registration SHOULD be performed using the HIP 
	Registration Extension <xref target="RFC8003"> </xref>.  The client 
	either uses an X.509 certificate <xref target="RFC8002"> </xref>, 
	or use a PSK, as defined in Appendix A of HIP-DEX <xref 
	target="I-D.ietf-hip-dex"> </xref>, to validate the registration.
</t>
<t>
	The Registration should include additional client information. This 
	information may be contained within the X.509 certificate and/or is 
	carried in the CLIENT_INFO parameter, see <xref 
	target="CLIENT_INFO" />. The Registrar can include its requirements 
	in the R1 packet, and the client provide its information in the I2 
	packet. This parameter may be encrypted within the ENCRYPTED 
	parameter.  If the CLIENT_INFO contains Personal Identifying 
	Information (PII), then it MUST be placed into the ENCRYPTED 
	parameter.
</t>
<t>
	The content and internal format of the CLIENT_INFO parameter is set by
	the HDA's policy and is outside the scope of this document.  Examples
	of client information can by phone number, IMEI, and ICCID.  
</t>
<section title="Hierarchical HIT Registration using X.509 Certificates">
<t>
	This requires the HIP client to possess a client certificate 
	trusted by the HDA/Registrar.  Registration will either succeed or 
	fail.  
</t>
</section>
<section title="Hierarchical HIT Registration using a PSK">
<t>
	This requires the HIP client and the HDA/Registrar to share a PSK. 
	The PSK may already exist prior to starting the registration and 
	just be used within the registration.  A PSK out-of-band exchange 
	may be triggered by performing the registration without any 
	authentication.
</t>
<t>
	If no client authentication is included in the I2 packet, the 
	registration fails with "No Authentication provided".  If the I2 
	packet included the proper HDA required client information, the HDA 
	can use it to set up a side channel for an out-of-band delivery of 
	a PSK.  And example of this would be to send an SMS message with 
	the PSK.  Once the client possesses the PSK, it can rerun the 
	registration at which point the HI and HIT duplicate checks are 
	performed.
</t>
</section>
<section anchor="RegType" title="Hierarchical HIT Registration Type">      
<t>
	The Registration Type used in the REG_REQUEST is:
</t>
    
<?rfc needLines="4" ?>  

	<figure>
		<artwork align="left">
Number   Registration Type
------   -----------------
2        HIT Registration 
        </artwork>
    </figure>
</section>
<section anchor="RegFail" title="Hierarchical HIT Registration Failure Type">      
<t>
	The Registration may fail.  In fact, with PSK, this may be the 
	response to expect an SMS message with the PSK to use in a second 
	registration request. Failure Types used in the REG_FAIL are:
</t>
    
<?rfc needLines="4" ?>  

	<figure>
		<artwork align="left">
Failure Type      Reason
------------      -----------------------
[TBD-IANA]        Hierarchical HIT Already Registered
[TBD-IANA]        HI Already Registered
[TBD-IANA]        Previously Registered HI with different device information
[TBD-IANA]        No Authentication provided
[TBD-IANA]        Invalid Authentication
[TBD-IANA]        Invalid Authentication, new PSK sent via SMS
        </artwork>
    </figure>
</section>
<section title="Registration failure behavior">
<t>
	If the failure type is "Hierarchical HIT Already 
	Registered", the client's HI is hashing to an existing HIT and must 
	generate a new HI and hierarchical HIT and reregister.  If the 
	failure is "HI Already Registered", the client should assume it is 
	registered.  If the failure is "Previously Registered HI with 
	different device information", either the client managed to 
	generate a duplicate HI, probably indicating a weak key generation 
	algorithm, or the client was previously registered on a different 
	device.  Resolving this conflict will be left to the HDA's policy.
</t>
<section title="Example of a simple HDA policy">
<t>
	A simple HDA policy would be to require the device to generate a 
	new HI and thus HHIT and try registration again.  The HDA policy 
	may also provide a URL for "Previous Registration Resolution".  
	This contact is primarily to assist a device that was registered, 
	but had some local failure resulting in a new registration attempt.
</t>
</section>
</section>
</section>
<section title="Using hierarchical HITs">
<t>
	All HIP clients with hierarchical HITs maintain an RVS connection 
	with their HDA's RVS server(s).  How the HDA scales this service up 
	to a potential population in the millions is out of scope of this 
	document.  Lifetime management of these connections is also out of 
	scope.
</t>
<t>
	One approach an HDA can use to address the scaling challenge is to 
	add an internal level of hierarchy to assign a set number of 
	devices per RVS server.
</t>
<t>
	Peering agreements between HDAs would allow for geographically 
	close RVS to a device.  This may reduce the latency for use of a 
	device's current RVS.  This is a subject of another document.
</t>
<section title="Contacting a HIP client">
<t>
	A service Initiator uses some service to discover the HIT of the 
	service Responder.  The Initiator uses the hierarchical information 
	in the HIT to find the Responder's RVS.  A trusted RVS discover 
	method could use the DNS PTR to RVS as shown in <xref 
	target="HIDDNS"/>.  An I1 is sent to that RVS which forwards it to 
	the Responder.
</t>
<t>
	The potential Responder uses the HIT in the I1 to query the 
	Initiator's RVS about the Initiator.  The nature of information, 
	and method of communication are determined by the Initiator's HDA 
	and the Responder's (and or HDA's) relationship with it.  Based on 
	the Responder's local policy, this information will be used to 
	determine if the contact is to be accepted.  If accepted, the 
	Responder may proceed sending an R1 to the Initiator.  It may 
	alternatively initiate some non-HIP process.
</t>
<t>
	It should be noted that this R1 may contain a REG_INFO list for the 
	Initiator to validate that the Responder does offer the desired 
	service.
</t>
</section>
<section title="Defense against fraudulent HITs">
<t>
	Both the Initiator and Responder MAY validate a peer host as a 
	defense against a second pre-image attack on the HHIT.  This may 
	occur via a <xref target="RFC8002">CERT</xref> in R1 or I2. It may 
	be through a back end process associated with the R1 or I2 
	validation to look up the HHIT and retrieve the registered HI.
</t>
</section>
</section>

<section anchor="IANA" title="IANA Considerations">
    <t>
	  IANA will need to make the following changes to the "Host 
	  Identity Protocol (HIP) Parameters" registries:
    </t>
    <t>
      <list style="hanging">
        <t hangText="HIT Suite ID:">
		  This document defines the new HIT Suite "Hierarchy with 
		  ECDSA/SHA256" (see <xref target="hit_suite_list" />).
        </t>
        <t hangText="CLIENT_INFO:">
		  This document defines the new CLIENT_INFO parameter (see 
		  <xref target="CLIENT_INFO" />).  The parameter value will be
		  assigned by IANA.
        </t>
        <t hangText="Reg Type:">
		  This document defines the new Registration Type for the 
		  REG_REQUEST parameter "HIT Registration" (see <xref 
		  target="RegType" />).
        </t>
        <t hangText="Reg Fail:">
		  This document defines the new Failure Types for the REG_FAIL 
		  parameter  (see <xref target="RegFail" />).
        </t>
      </list>
    </t>
</section>
<section title="RAA Management Organization Considerations">
<t>
	Introducing the RAA management organization may be the largest 
	hurdle for hierarchical HITs.  Thus it would be best if this were 
	adopted by an organization already in the business of allocating 
	numbers within either the Internet or the Mobile, cellular, 
	infrastructure.
</t>
<t>
	One consideration would be to reserve the first N RAA values to map 
	to the existing DNS TLDs.  For example, these TLDs can be organized 
	in an ascending order and numbered accordingly.  Thus the 2 
	character TLDs will be a lower number than the 3 character TLDs.  
	After that, it could be a first come, first numbered assignment 
	process.
</t>
</section>
<section title="Security Considerations">
<t>
	There are potential risks with the hierarchical HIT, the Registry 
	service, and the discovery of potential peer hosts using its 
	hierarchical HIT.
</t>
<t>
	A 64 bit hash space presents a real risk of second pre-image 
	attacks.  The HHIT Registry services effectively block attempts to 
	"take over" a HHIT.  It does not stop a rogue attempting to 
	impersonate a known HHIT.  This attack can be mitigated by the 
	Responder using DNS to find the HI for the HHIT or the RVS for the 
	HHIT that then provides the registered HI.
</t>
<t>
	The two risks with hierarchical HITs are the use of an invalid HID 
	and forced HIT collisions.  The use of the "hhit.arpa." DNS zone is 
	a strong protection against invalid HIDs.  Querying an HDA's RVS 
	for a HIT under the HDA protects against talking to unregistered 
	clients.  The Registry service has direct protection against forced 
	or accidental HIT hash collisions.
</t>
<t>
	By using the HIP Registration Extension, the Registry service is 
	protected from direct attacks.  This service does rely on either 
	the integrity of a PKI service or an out-of-band PSK delivery 
	process.  Thus the risk to the Registry service is highly related 
	to the trust in these authentication setup services.  Further, the 
	duplicate HI resolution process may require human interaction with
	related social engineering risks.
</t>
<t>
	Finally the peer host discovery process relies on trusting the 
	finding the proper HDA for the host and its forwarding the I1 to 
	the proper Responder.  A rogue RVS, impersonating the RVS for the 
	HIT, could redirect the I1 to a client that has forced a collision 
	with the HIT and the Initiator would be none the wiser.  The only 
	defense against this is if the Initiator has some other source for 
	the Responder HI and validate the HI in the R1.
</t>
<section title="Privacy Concerns">
<t>
	<xref 
	target="I-D.moskowitz-mobile-privacy-attack">Mobile-privacy-attack</xref> 
	details how Eve can follow a communication between two mobile peers 
	using the session Identifiers and deep knowledge about those 
	Identifiers gained by hacking servers that log PII related to the 
	Identifiers.
</t>
<t>
	Hierarchical HITs not only does not mitigate this attack, it can 
	actually aggravate it by supplying the HDA where the HHIT is 
	registered.
</t>
<t>
	A HIP Privacy Enhanced Base Exchange, to be defined in a separate 
	draft, along with a Privacy Enhanced ESP tunnel, can be used to 
	hide all the HIP and ESP Identifiers from Eve.
</t>
</section>
</section>
<section title="Acknowledgments">
<t>
	Sue Hares of Huawei contributed to the clarity in this document.
</t>
</section>
</middle>
<back>
<references title="Normative References">
	<?rfc include="reference.RFC.2119.xml"?>
</references>
<references title="Informative References">
	<?rfc include="reference.RFC.7343.xml"?>
	<?rfc include="reference.RFC.7401.xml"?>
	<?rfc include="reference.RFC.8002.xml"?>
	<?rfc include="reference.RFC.8003.xml"?>
	<?rfc include="reference.RFC.8004.xml"?>
	<?rfc include="reference.I-D.irtf-hiprg-dht.xml"?>
	<?rfc include="reference.I-D.ietf-hip-dex.xml"?>
	<?rfc include="reference.I-D.moskowitz-mobile-privacy-attack.xml"?>
</references>
<section anchor="Coll_Prob" title="Calculating Collision Probabilities">
<t>
	The accepted formula for calculating the probability of a collision 
	is:
</t>
	<figure>
		<artwork>

	p = 1 - e^{-k^2/(2n)}


	P	Collision Probability
	n	Total possible population
	k	Actual population


		</artwork>
	</figure>
</section>
</back>
</rfc>
