NTP Working Group                                              D. Sibold
Internet-Draft                                                       PTB
Intended status: Standards Track                             S. Roettger
Expires: September 7, 2015                                    Google Inc
                                                              K. Teichel
                                                                     PTB
                                                          March 06, 2015


Using the Network Time Security Specification to Secure the Network Time
                                Protocol
                draft-ietf-ntp-using-nts-for-ntp-00.txt

Abstract

   This document describes how to use the measures described in the
   Network Time Security (NTS) specification to secure time
   synchronization with servers using the Network Time Protocol (NTP).

Requirements Language

   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 RFC 2119 [RFC2119].

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
   provisions of BCP 78 and BCP 79.

   Internet-Drafts are working documents of the Internet Engineering
   Task Force (IETF).  Note that other groups may also distribute
   working documents as Internet-Drafts.  The list of current Internet-
   Drafts is at http://datatracker.ietf.org/drafts/current/.

   Internet-Drafts are draft documents valid for a maximum of six months
   and may be updated, replaced, or obsoleted by other documents at any
   time.  It is inappropriate to use Internet-Drafts as reference
   material or to cite them other than as "work in progress."

   This Internet-Draft will expire on September 7, 2015.

Copyright Notice

   Copyright (c) 2015 IETF Trust and the persons identified as the
   document authors.  All rights reserved.





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   This document is subject to BCP 78 and the IETF Trust's Legal
   Provisions Relating to IETF Documents
   (http://trustee.ietf.org/license-info) in effect on the date of
   publication of this document.  Please review these documents
   carefully, as they describe your rights and restrictions with respect
   to this document.  Code Components extracted from this document must
   include Simplified BSD License text as described in Section 4.e of
   the Trust Legal Provisions and are provided without warranty as
   described in the Simplified BSD License.

Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
   2.  Objectives  . . . . . . . . . . . . . . . . . . . . . . . . .   3
   3.  Terms and Abbreviations . . . . . . . . . . . . . . . . . . .   4
   4.  Overview of NTS-Secured NTP . . . . . . . . . . . . . . . . .   4
     4.1.  Symmetric and Client/Server Mode  . . . . . . . . . . . .   4
     4.2.  Broadcast Mode  . . . . . . . . . . . . . . . . . . . . .   4
   5.  Protocol Sequence . . . . . . . . . . . . . . . . . . . . . .   4
     5.1.  The Client  . . . . . . . . . . . . . . . . . . . . . . .   4
       5.1.1.  The Client in Unicast Mode  . . . . . . . . . . . . .   4
       5.1.2.  The Client in Broadcast Mode  . . . . . . . . . . . .   6
     5.2.  The Server  . . . . . . . . . . . . . . . . . . . . . . .   8
       5.2.1.  The Server in Unicast Mode  . . . . . . . . . . . . .   8
       5.2.2.  The Server in Broadcast Mode  . . . . . . . . . . . .   9
   6.  Implementation Notes: ASN.1 Structures and Use of the CMS . .   9
     6.1.  Unicast Messages  . . . . . . . . . . . . . . . . . . . .   9
       6.1.1.  Association Messages  . . . . . . . . . . . . . . . .   9
       6.1.2.  Cookie Messages . . . . . . . . . . . . . . . . . . .  10
       6.1.3.  Time Synchronization Messages . . . . . . . . . . . .  10
     6.2.  Broadcast Messages  . . . . . . . . . . . . . . . . . . .  11
       6.2.1.  Broadcast Parameter Messages  . . . . . . . . . . . .  11
       6.2.2.  Broadcast Time Synchronization Message  . . . . . . .  11
       6.2.3.  Broadcast Keycheck  . . . . . . . . . . . . . . . . .  11
   7.  Security Considerations . . . . . . . . . . . . . . . . . . .  12
     7.1.  Usage of NTP Pools  . . . . . . . . . . . . . . . . . . .  12
     7.2.  Server Seed Lifetime  . . . . . . . . . . . . . . . . . .  12
     7.3.  Supported Hash Algorithms . . . . . . . . . . . . . . . .  12
   8.  Acknowledgements  . . . . . . . . . . . . . . . . . . . . . .  12
   9.  References  . . . . . . . . . . . . . . . . . . . . . . . . .  12
     9.1.  Normative References  . . . . . . . . . . . . . . . . . .  12
     9.2.  Informative References  . . . . . . . . . . . . . . . . .  13
   Appendix A.  Flow Diagrams of Client Behaviour  . . . . . . . . .  13
   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .  16







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1.  Introduction

   One of the most popular time synchronization protocols, the Network
   Time Protocol (NTP) [RFC5905], currently does not provide adequate
   intrinsic security precautions.  The Network Time Security draft
   [I-D.ietf-ntp-network-time-security] specifies security measures
   which can be used to enable time synchronization protocols to verify
   authenticity of the time server and integrity of the time
   synchronization protocol packets.

   This document provides detail on how to specifically use those
   measures to secure time synchronization between NTP clients and
   servers.

2.  Objectives

   The objectives of the NTS specification are as follows:

   o  Authenticity: NTS enables an NTP client to authenticate its time
      server(s).

   o  Integrity: NTS protects the integrity of NTP time synchronization
      protocol packets via a message authentication code (MAC).

   o  Confidentiality: NTS does not provide confidentiality protection
      of the time synchronization packets.

   o  Authorization: NTS optionally enables the server to verify the
      client's authorization.

   o  Request-Response-Consistency: NTS enables a client to match an
      incoming response to a request it has sent.  NTS also enables the
      client to deduce from the response whether its request to the
      server has arrived without alteration.

   o  Modes of operation: Both the unicast and the broadcast mode of NTP
      are supported.

   o  Hybrid mode: Both secure and insecure communication modes are
      possible for both NTP servers and clients.

   o  Compatibility:

      *  Unsecured NTP associations are not be affected.

      *  An NTP server that does not support NTS are not affected by
         NTS-secured authentication requests.




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3.  Terms and Abbreviations

   MITM   Man In The Middle

   NTP    Network Time Protocol [RFC5905]

   NTS    Network Time Security

   TESLA  Timed Efficient Stream Loss-Tolerant Authentication

   MAC  Message Authentication Code

   HMAC  Keyed-Hash Message Authentication Code

4.  Overview of NTS-Secured NTP

4.1.  Symmetric and Client/Server Mode

   The server does not keep a state of the client.  NTS applies X.509
   certificates to verify the authenticity of the time server and to
   exchange a symmetric key, the so-called cookie.  The "association"
   and "cookie" message exchanges are utilized for this.  In subsequent
   "unicast time synchronization" message exchanges, the cookie is then
   used to protect authenticity and integrity of NTP unicast time
   synchronization packets.  This is achieved by a MAC attached to each
   time synchronization packet.

4.2.  Broadcast Mode

   After the client has accomplished the necessary initial time
   synchronization via client-server mode, a "broadcast parameter"
   message exchange is utilized to communicate the necessary broadcast
   parameters to the client.  Subsequently, "broadcast time
   synchronization" message exchanges are utilized in combination with
   optional "broadcast keycheck" exchanges to protect authenticity and
   integrity of NTP broadcast time synchronization packets.  This is
   also achieved by MACs.

5.  Protocol Sequence

5.1.  The Client

5.1.1.  The Client in Unicast Mode

   For a unicast run, the client performs the following steps:






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   1.  It sends a client_assoc message to the server.  It MUST keep the
       transmitted nonce as well as the values for the version number
       and algorithms available for later checks.

   2.  It waits for a reply in the form of a server_assoc message.
       After receipt of the message it performs the following checks:

       *  The client checks that the message contains a conforming
          version number.

       *  It checks that the nonce sent back by the server matches the
          one transmitted in client_assoc,

       *  It also verifies that the server has chosen the encryption and
          hash algorithms from its proposal sent in the client_assoc
          message and that this proposal was not altered.

       *  Furthermore, it performs authenticity checks on the
          certificate chain and the signature.

       If one of the checks fails, the client MUST abort the run.
       Discussion:

          Note that by performing the above message exchange and checks,
          the client validates the authenticity of its immediate NTP
          server only.  It does not recursively validate the
          authenticity of each NTP server on the time synchronization
          chain.  Recursive authentication (and authorization) as
          formulated in RFC 7384 [RFC7384] depends on the chosen trust
          anchor.

   3.  Next it sends a client_cook message to the server.  The client
       MUST save the included nonce until the reply has been processed.

   4.  It awaits a reply in the form of a server_cook message; upon
       receipt it executes the following actions:

       *  It verifies that the received version number matches the one
          negotiated beforehand.

       *  It verifies the signature using the server's public key.  The
          signature has to authenticate the encrypted data.

       *  It decrypts the encrypted data with its own private key.

       *  It checks that the decrypted message is of the expected
          format: the concatenation of a 128 bit nonce and a 128 bit
          cookie.



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       *  It verifies that the received nonce matches the nonce sent in
          the client_cook message.

       If one of those checks fails, the client MUST abort the run.

   5.  The client sends a time_request message to the server.  The
       client MUST save the included nonce and the transmit_timestamp
       (from the time synchronization data) as a correlated pair for
       later verification steps.

   6.  It awaits a reply in the form of a time_response message.  Upon
       receipt, it checks:

       *  that the transmitted version number matches the one negotiated
          previously,

       *  that the transmitted nonce belongs to a previous time_request
          message,

       *  that the transmit_timestamp in that time_request message
          matches the corresponding time stamp from the synchronization
          data received in the time_response, and

       *  that the appended MAC verifies the received synchronization
          data, version number and nonce.

       If at least one of the first three checks fails (i.e.  if the
       version number does not match, if the client has never used the
       nonce transmitted in the time_response message, or if it has used
       the nonce with initial time synchronization data different from
       that in the response), then the client MUST ignore this
       time_response message.  If the MAC is invalid, the client MUST do
       one of the following: abort the run or go back to step 5 (because
       the cookie might have changed due to a server seed refresh).  If
       both checks are successful, the client SHOULD continue time
       synchronization by repeating the exchange of time_request and
       time_response messages.

   The client's behavior in unicast mode is also expressed in Figure 1.

5.1.2.  The Client in Broadcast Mode

   To establish a secure broadcast association with a broadcast server,
   the client MUST initially authenticate the broadcast server and
   securely synchronize its time with it up to an upper bound for its
   time offset in unicast mode.  After that, the client performs the
   following steps:




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   1.  It sends a client_bpar message to the server.  It MUST remember
       the transmitted values for the nonce, the version number and the
       signature algorithm.

   2.  It waits for a reply in the form of a server_bpar message after
       which it performs the following checks:

       *  The message must contain all the necessary information for the
          TESLA protocol, as specified for a server_bpar message.

       *  The message must contain a nonce belonging to a client_bpar
          message that the client has previously sent.

       *  Verification of the message's signature.

       If any information is missing or if the server's signature cannot
       be verified, the client MUST abort the broadcast run.  If all
       checks are successful, the client MUST remember all the broadcast
       parameters received for later checks.

   3.  The client awaits time synchronization data in the form of a
       server_broadcast message.  Upon receipt, it performs the
       following checks:

       1.  Proof that the MAC is based on a key that is not yet
           disclosed (packet timeliness).  This is achieved via a
           combination of checks.  First, the disclosure schedule is
           used, which requires loose time synchronization.  If this is
           successful, the client obtains a stronger guarantee via a key
           check exchange: it sends a client_keycheck message and waits
           for the appropriate response.  Note that it needs to memorize
           the nonce and the time interval number that it sends as a
           correlated pair.  For more detail on both of the mentioned
           timeliness checks, see [I-D.ietf-ntp-network-time-security].
           If its timeliness is verified, the packet will be buffered
           for later authentication.  Otherwise, the client MUST discard
           it.  Note that the time information included in the packet
           will not be used for synchronization until its authenticity
           could also be verified.

       2.  The client checks that it does not already know the disclosed
           key.  Otherwise, the client SHOULD discard the packet to
           avoid a buffer overrun.  If verified, the client ensures that
           the disclosed key belongs to the one-way key chain by
           applying the one-way function until equality with a previous
           disclosed key is shown.  If it is falsified, the client MUST
           discard the packet.




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       3.  If the disclosed key is legitimate, then the client verifies
           the authenticity of any packet that it has received during
           the corresponding time interval.  If authenticity of a packet
           is verified it is released from the buffer and the packet's
           time information can be utilized.  If the verification fails,
           then authenticity is no longer given.  In this case, the
           client MUST request authentic time from the server by means
           of a unicast time request message.  Also, the client MUST re-
           initialize the broadcast sequence with a "client_bpar"
           message if the one-way key chain expires, which it can check
           via the disclosure schedule.

       See RFC 4082 [RFC4082] for a detailed description of the packet
       verification process.

   The client MUST restart the broadcast sequence with a client_bpar
   message ([I-D.ietf-ntp-network-time-security]) if the one-way key
   chain expires.

   The client's behavior in broadcast mode can also be seen in Figure 2.

5.2.  The Server

5.2.1.  The Server in Unicast Mode

   To support unicast mode, the server MUST be ready to perform the
   following actions:

   o  Upon receipt of a client_assoc message, the server constructs and
      sends a reply in the form of a server_assoc message as described
      in [I-D.ietf-ntp-network-time-security].

   o  Upon receipt of a client_cook message, the server checks whether
      it supports the given cryptographic algorithms.  It then
      calculates the cookie according to the formula given in
      Section 4.1.  With this, it MUST construct a server_cook message
      as described in [I-D.ietf-ntp-network-time-security].

   o  Upon receipt of a time_request message, the server re-calculates
      the cookie, then computes the necessary time synchronization data
      and constructs a time_response message as given in
      [I-D.ietf-ntp-network-time-security].

   The server MUST refresh its server seed periodically (see
   [I-D.ietf-ntp-network-time-security]).






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5.2.2.  The Server in Broadcast Mode

   A broadcast server MUST also support unicast mode in order to provide
   the initial time synchronization, which is a precondition for any
   broadcast association.  To support NTS broadcast, the server MUST
   additionally be ready to perform the following actions:

   o  Upon receipt of a client_bpar message, the server constructs and
      sends a server_bpar message as described in
      [I-D.ietf-ntp-network-time-security].

   o  Upon receipt of a client_keycheck message, the server looks up
      whether it has already disclosed the key associated with the
      interval number transmitted in that message.  If it has not
      disclosed it, it constructs and sends the appropriate
      server_keycheck message as described in
      [I-D.ietf-ntp-network-time-security].  For more details, see also
      [I-D.ietf-ntp-network-time-security].

   o  The server follows the TESLA protocol in all other aspects, by
      regularly sending server_broad messages as described in
      [I-D.ietf-ntp-network-time-security], adhering to its own
      disclosure schedule.

   It is also the server's responsibility to watch for the expiration
   date of the one-way key chain and generate a new key chain
   accordingly.

6.  Implementation Notes: ASN.1 Structures and Use of the CMS

   This section presents some hints about the structures of the
   communication packets for the different message types when one wishes
   to implement NTS for NTP.  See document
   [I-D.ietf-ntp-cms-for-nts-message] for descriptions of the archetypes
   for CMS structures as well as for the ASN.1 structures that are
   referenced here.

6.1.  Unicast Messages

6.1.1.  Association Messages

6.1.1.1.  Message Type: "client_assoc"

   This message is realized as an NTP packet with an extension field
   which holds an "NTS-Plain" archetype CMS structure.  This structure
   contains in its core an NTS message object of the type
   "ClientAssociationData", which holds all the data necessary for the
   NTS security mechanisms.



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6.1.1.2.  Message Type: "server_assoc"

   Like "client_assoc", this message is realized as an NTP packet with
   an extension field which holds an "NTS-Plain" archetype CMS
   structure.  This structure contains in its core an NTS message object
   of the type "ServerAssociationData".  The latter holds all the data
   necessary for NTS.

6.1.2.  Cookie Messages

6.1.2.1.  Message Type: "client_cook"

   This message type is realized as an NTP packet with an extension
   field which holds a CMS structure of archetype "NTS-Certified",
   containing in its core an NTS message object of the type
   "ClientCookieData".  The latter holds all the data necessary for the
   NTS security mechanisms.

6.1.2.2.  Message Type: "server_cook"

   This message type is realized as an NTP packet with an extension
   field containing a CMS structure of archetype "NTS-Signed-and-
   Encrypted".  The NTS message object in that structure is a
   "ServerCookieData" object, which holds all data required by NTS for
   this message type.

6.1.3.  Time Synchronization Messages

6.1.3.1.  Message Type: "time_request"

   This message type is realized as an NTP packet which actually
   contains regular NTP time synchronization data, as an unsecured NTP
   packet from a client to a server would.  Furthermore, the packet has
   an extension field which contains an ASN.1 object of type
   "TimeRequestSecurityData" (packed in a CMS structure of archetype
   "NTS-Plain"), whose structure is as follows:

6.1.3.2.  Message Type: "time_response"

   This message is also realized as an NTP packet with regular NTP time
   synchronization data.  The packet also has an extension field which
   contains an ASN.1 object of type "TimeResponseSecurityData".
   Finally, this NTP packet has a MAC field which contains a Message
   Authentication Code generated over the whole packet (including the
   extension field).






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6.2.  Broadcast Messages

6.2.1.  Broadcast Parameter Messages

6.2.1.1.  Message Type: "client_bpar"

   This first broadcast message is realized as an NTP packet which is
   empty except for an extension field which contains an ASN.1 object of
   type "BroadcastParameterRequest" (packed in a CMS structure of
   archetype "CMS-Plain").  This is sufficient to transport all data
   specified by NTS.

6.2.1.2.  Message Type: "server_bpar"

   This message type is realized as an NTP packet whose extension field
   carries the necessary CMS structure (archetype: "NTS-Signed").  The
   NTS message object in this case is an ASN.1 object of type
   "BroadcastParameterResponse".

6.2.2.  Broadcast Time Synchronization Message

6.2.2.1.  Message Type: "server_broad"

   This message's realization works via an NTP packet which carries
   regular NTP broadcast time data as well as an extension field, which
   contains an ASN.1 object of type "BroadcastTime" (packed in a CMS
   structure with archetype "NTS-Plain").  In addition to all this, this
   packet has a MAC field which contains a Message Authentication Code
   generated over the whole packet (including the extension field).

6.2.3.  Broadcast Keycheck

6.2.3.1.  Message Type: "client_keycheck"

   This message is realized as an NTP packet with an extension field,
   which transports a CMS structure of archetype "NTS-Plain", containing
   an ASN.1 object of type "ClientKeyCheckSecurityData".

6.2.3.2.  Message Type: "server_keycheck"

   This message is also realized as an NTP packet with an extension
   field, which contains an ASN.1 object of type
   "ServerKeyCheckSecurityData" (packed in a CMS structure of archetype
   "NTS-Plain").  Additionally, this NTP packet has a MAC field which
   contains a Message Authentication Code generated over the whole
   packet (including the extension field).





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7.  Security Considerations

7.1.  Usage of NTP Pools

   The certification-based authentication scheme described in
   [I-D.ietf-ntp-network-time-security] is not applicable to the concept
   of NTP pools.  Therefore, NTS is unable to provide secure usage of
   NTP pools.

7.2.  Server Seed Lifetime

   tbd

7.3.  Supported Hash Algorithms

   The list of the hash algorithms supported by the server has to
   fulfill the following requirements:

   o  it MUST NOT include SHA-1 or weaker algorithms,

   o  it MUST include SHA-256 or stronger algorithms.

8.  Acknowledgements

   The authors would like to thank Russ Housley, Steven Bellovin, David
   Mills and Kurt Roeckx for discussions and comments on the design of
   NTS.  Also, thanks to Harlan Stenn for his technical review and
   specific text contributions to this document.

9.  References

9.1.  Normative References

   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
              Requirement Levels", BCP 14, RFC 2119, March 1997.

   [RFC4082]  Perrig, A., Song, D., Canetti, R., Tygar, J., and B.
              Briscoe, "Timed Efficient Stream Loss-Tolerant
              Authentication (TESLA): Multicast Source Authentication
              Transform Introduction", RFC 4082, June 2005.

   [RFC5905]  Mills, D., Martin, J., Burbank, J., and W. Kasch, "Network
              Time Protocol Version 4: Protocol and Algorithms
              Specification", RFC 5905, June 2010.







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9.2.  Informative References

   [I-D.ietf-ntp-cms-for-nts-message]
              Sibold, D., Roettger, S., Teichel, K., and R. Housley,
              "Protecting Network Time Security Messages with the
              Cryptographic Message Syntax (CMS)", draft-ietf-ntp-cms-
              for-nts-message-01 (work in progress), January 2015.

   [I-D.ietf-ntp-network-time-security]
              Sibold, D., Roettger, S., and K. Teichel, "Network Time
              Security", draft-ietf-ntp-network-time-security-07 (work
              in progress), March 2015.

   [RFC7384]  Mizrahi, T., "Security Requirements of Time Protocols in
              Packet Switched Networks", RFC 7384, October 2014.

Appendix A.  Flow Diagrams of Client Behaviour


































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                        +---------------------+
                        |Association Messages |
                        +----------+----------+
                                   |
   +------------------------------>o
   |                               |
   |                               v
   |                       +---------------+
   |                       |Cookie Messages|
   |                       +-------+-------+
   |                               |
   |                               o<------------------------------+
   |                               |                               |
   |                               v                               |
   |                     +-------------------+                     |
   |                     |Time Sync. Messages|                     |
   |                     +---------+---------+                     |
   |                               |                               |
   |                               v                               |
   |                            +-----+                            |
   |                            |Check|                            |
   |                            +--+--+                            |
   |                               |                               |
   |            /------------------+------------------\            |
   |           v                   v                   v           |
   |     .-----------.      .-------------.        .-------.       |
   |    ( MAC Failure )    ( Nonce Failure )      ( Success )      |
   |     '-----+-----'      '------+------'        '---+---'       |
   |           |                   |                   |           |
   |           v                   v                   v           |
   |    +-------------+     +-------------+     +--------------+   |
   |    |Discard Data |     |Discard Data |     |Sync. Process |   |
   |    +-------------+     +------+------+     +------+-------+   |
   |           |                   |                   |           |
   |           |                   |                   v           |
   +-----------+                   +------------------>o-----------+

           Figure 1: The client's behavior in NTS unicast mode.













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                            +-----------------------------+
                            |Broadcast Parameter Messages |
                            +--------------+--------------+
                                           |
                                           o<--------------------------+
                                           |                           |
                                           v                           |
                            +-----------------------------+            |
                            |Broadcast Time Sync. Message |            |
                            +--------------+--------------+            |
                                           |                           |
   +-------------------------------------->o                           |
   |                                       |                           |
   |                                       v                           |
   |                             +-------------------+                 |
   |                             |Key and Auth. Check|                 |
   |                             +---------+---------+                 |
   |                                       |                           |
   |                      /----------------*----------------\          |
   |                     v                                   v         |
   |                .---------.                         .---------.    |
   |               ( Verified  )                       ( Falsified )   |
   |                '----+----'                         '----+----'    |
   |                     |                                   |         |
   |                     v                                   v         |
   |              +-------------+                        +-------+     |
   |              |Store Message|                        |Discard|     |
   |              +------+------+                        +---+---+     |
   |                     |                                   |         |
   |                     v                                   +---------o
   |             +---------------+                                     |
   |             |Check Previous |                                     |
   |             +-------+-------+                                     |
   |                     |                                             |
   |            /--------*--------\                                    |
   |           v                   v                                   |
   |      .---------.         .---------.                              |
   |     ( Verified  )       ( Falsified )                             |
   |      '----+----'         '----+----'                              |
   |           |                   |                                   |
   |           v                   v                                   |
   |    +-------------+   +-----------------+                          |
   |    |Sync. Process|   |Discard Previous |                          |
   |    +------+------+   +--------+--------+                          |
   |           |                   |                                   |
   +-----------+                   +-----------------------------------+

          Figure 2: The client's behaviour in NTS broadcast mode.



Sibold, et al.          Expires September 7, 2015              [Page 15]


Internet-Draft                   NTS4NTP                      March 2015


Authors' Addresses

   Dieter Sibold
   Physikalisch-Technische Bundesanstalt
   Bundesallee 100
   Braunschweig  D-38116
   Germany

   Phone: +49-(0)531-592-8420
   Fax:   +49-531-592-698420
   Email: dieter.sibold@ptb.de


   Stephen Roettger
   Google Inc

   Email: stephen.roettger@googlemail.com


   Kristof Teichel
   Physikalisch-Technische Bundesanstalt
   Bundesallee 100
   Braunschweig  D-38116
   Germany

   Phone: +49-(0)531-592-8421
   Email: kristof.teichel@ptb.de
























Sibold, et al.          Expires September 7, 2015              [Page 16]