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From: Jean-Philippe Aumasson <jeanphilippe.aumasson@gmail.com>
Date: Wed, 16 Dec 2020 17:22:48 +0100
Message-ID: <CAGiyFdeiZ3OYj4OD=gXwuCv=JDW=A_+3QB8noa7yTxuYM50WRA@mail.gmail.com>
To: Rene Struik <rstruik.ext@gmail.com>
Cc: Benjamin Kaduk <kaduk@mit.edu>, cfrg@ietf.org
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Subject: Re: [CFRG] SipHash recommendation?
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The security goal of a PRF is to be indistinguishable from a random
function, according to some formal and precise definition. I've not checked
but I believe that these papers' distinguishers fall in this category (as
opposed, for example, to "known-key distinguishers").

AFAIU, these results don't seem to violate the claim of
indistinguishability on Siphash-2-4 or 4-8.

One limitation of SipHash is its tag size (64 bits). We've a 128-bit
version in the github repo, but it's not in the paper, and arguably less
analyzed than the original. Linux also has this "halfsiphash".

What's important to keep in mind is that SipHash is a PRF/MAC, not a hash
function (probably bad name choice), and should thus not be used as an
unkeyed hash (unless you dont worry about collision resistance).



On Wed, Dec 16, 2020 at 5:17 PM Rene Struik <rstruik.ext@gmail.com> wrote:

> Hi Jean-Philippe:
>
> So, it seems your 2012 paper does not provide any evidence of the
> indistinguishability claim in the introduction hereof, but there has been
> some subsequent work in this direction (your 2019 pointers). Isn't an
> indistinguishability claim different from an attack actually building a
> distinguisher with high complexity?
>
> Best regards, Rene
>
> On 2020-12-16 11:05 a.m., Jean-Philippe Aumasson wrote:
>
> The most recent results are these 2019 works:
>
> https://eprint.iacr.org/2019/865.pdf
> and
>
> https://askworkshop.github.io/ask2019/assets/slides/ask2019talk_yunwenliu=
.pdf
>
> Summary tables below, where distinguishers are the type of attacks relate=
d
> to indistinguishabilty:
>
> [image: image.png]
> [image: image.png]
>
> On Wed, Dec 16, 2020 at 4:59 PM Rene Struik <rstruik.ext@gmail.com> wrote=
:
>
>> Hi Jean-Philippe:
>>
>> Section 3 of the SipHash paper [1] writes "We de fine SipHash-c-d for
>> smaller c and d to provide targets for cryptanalysis. Cryptanalysts are
>> thus invited to break", while Section 1 writes "Our concrete proposal
>> SipHash-2-4 was designed and evaluated to be a cryptographically strong =
PRF
>> (pseudorandom function), i.e., indistinguishable from a uniform random
>> function.
>> This implies its strength as a MAC."
>>
>> I am curious about the cryptanalysis that went into supporting the
>> indistinguishability claim. From a cursory look at [1] and [2] I could n=
ot
>> immediately find this.
>>
>> Is indistinguishability the (or one of the) "security goals" alluded to,
>> but not mentioned, on the last slide of the presentation [2]?
>>
>> Best regards, Rene
>>
>> Ref:
>> [1] Hash Functions - SipHash, A Fast Short-Input PRF (Jean-Philippe
>> Aumasson, Daniel Bernstein, DIAC 2012)
>> [2] https://cr.yp.to/talks/2012.12.12/slides.pdf
>>
>> On 2020-12-16 9:58 a.m., Jean-Philippe Aumasson wrote:
>>
>> SipHash co-author here, that draft uses the 2-4 versions (like the Linux
>> kernel,
>> https://www.kernel.org/doc/html/latest/security/siphash.html), which has
>> lower security margin than 4-8, but I=E2=80=99m not aware of any cryptan=
alysis
>> result that would affect any of these in the context of this proposed
>> application.
>>
>>
>>
>> On Wed 16 Dec 2020 at 01:03, Benjamin Kaduk <kaduk@mit.edu> wrote:
>>
>>> Hi all,
>>>
>>> We have a document (draft-ietf-dnsop-server-cookies) in front of the IE=
SG
>>> that proposes to use the SipHash-2-4 algorithm
>>> (https://www.aumasson.jp/siphash/,
>>> https://www.aumasson.jp/siphash/siphash.pdf) as a MAC over what is in
>>> some
>>> sense a return-routability and freshness token, the "DNS cookie"
>>> originally
>>> specified in RFC 7873.
>>>
>>> Unfortunately, the authors of this draft have not yet written down a
>>> clear
>>> description of what properties they believe are needed from this MAC fo=
r
>>> this usage, which makes it slightly hard to confirm that SipHash is a
>>> suitable algorithm for this purpose, though that is certainly a questio=
n
>>> that I am interested in.
>>>
>>> Regardless of that, I would also like to get the CFRG's input on whethe=
r
>>> SipHash is a suitable algorithm for its stated goals (paraphrasing
>>> slightly): a performant keyed (family of) PRF suitable for use as a MAC=
,
>>> with the security goal for a MAC being considered to be that an attacke=
r,
>>> even after seeing tags for many messages (perhaps selected by the
>>> attacker), is unable to guess tags for any other messages.
>>>
>>> In short: is SipHash fit for this purpose?
>>>
>>> There does seem to be a decent amount of literature analyzing SipHash,
>>> but
>>> I have not attempted to review it to any significant degree.
>>>
>>> Thanks,
>>>
>>> Ben
>>>
>>> _______________________________________________
>>> CFRG mailing list
>>> CFRG@irtf.org
>>> https://www.irtf.org/mailman/listinfo/cfrg
>>>
>>
>> _______________________________________________
>> CFRG mailing listCFRG@irtf.orghttps://www.irtf.org/mailman/listinfo/cfrg
>>
>>
>> --
>> email: rstruik.ext@gmail.com | Skype: rstruik
>> cell: +1 (647) 867-5658 | US: +1 (415) 287-3867
>>
>>
> --
> email: rstruik.ext@gmail.com | Skype: rstruik
> cell: +1 (647) 867-5658 | US: +1 (415) 287-3867
>
>

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<div dir=3D"ltr">The security goal of a PRF is to be indistinguishable from=
 a random function, according to some formal and precise definition. I&#39;=
ve not checked but I believe that these papers&#39; distinguishers fall in =
this category (as opposed, for example, to &quot;known-key distinguishers&q=
uot;).=C2=A0<div><br></div><div>AFAIU, these results don&#39;t seem to viol=
ate the claim of indistinguishability on Siphash-2-4 or 4-8.</div><div><br>=
</div><div>One limitation of SipHash is its tag size (64 bits). We&#39;ve a=
 128-bit version in the github repo, but it&#39;s not in the paper, and arg=
uably less analyzed than the original. Linux also has this &quot;halfsiphas=
h&quot;.</div><div><br></div><div>What&#39;s important to keep in mind is t=
hat SipHash is a PRF/MAC, not a hash function (probably bad name choice), a=
nd should thus not be used as an unkeyed hash (unless you=C2=A0dont=C2=A0wo=
rry about collision resistance).</div><div><br></div><div><br></div></div><=
br><div class=3D"gmail_quote"><div dir=3D"ltr" class=3D"gmail_attr">On Wed,=
 Dec 16, 2020 at 5:17 PM Rene Struik &lt;<a href=3D"mailto:rstruik.ext@gmai=
l.com">rstruik.ext@gmail.com</a>&gt; wrote:<br></div><blockquote class=3D"g=
mail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204=
,204,204);padding-left:1ex">
 =20
   =20
 =20
  <div>
    <div>Hi Jean-Philippe:</div>
    <div><br>
    </div>
    <div>So, it seems your 2012 paper does not
      provide any evidence of the indistinguishability claim in the
      introduction hereof, but there has been some subsequent work in
      this direction (your 2019 pointers). Isn&#39;t an indistinguishabilit=
y
      claim different from an attack actually building a distinguisher
      with high complexity?<br>
    </div>
    <div><br>
    </div>
    <div>Best regards, Rene<br>
    </div>
    <div><br>
    </div>
    <div>On 2020-12-16 11:05 a.m., Jean-Philippe
      Aumasson wrote:<br>
    </div>
    <blockquote type=3D"cite">
     =20
      <div dir=3D"ltr">The most recent results are these 2019 works:
        <div><br>
        </div>
        <div><a href=3D"https://eprint.iacr.org/2019/865.pdf" target=3D"_bl=
ank">https://eprint.iacr.org/2019/865.pdf</a>=C2=A0<br>
        </div>
        <div>and</div>
        <div><a href=3D"https://askworkshop.github.io/ask2019/assets/slides=
/ask2019talk_yunwenliu.pdf" target=3D"_blank">https://askworkshop.github.io=
/ask2019/assets/slides/ask2019talk_yunwenliu.pdf</a><br>
        </div>
        <div><br>
        </div>
        <div>Summary tables below, where distinguishers are the type of
          attacks related to indistinguishabilty:</div>
        <div><br>
        </div>
        <div><img src=3D"cid:1766c595adecb971f161" alt=3D"image.png" width=
=3D"472" height=3D"252"><br>
        </div>
        <div><img src=3D"cid:1766c595adecb971f162" alt=3D"image.png" width=
=3D"472" height=3D"277"><br>
        </div>
      </div>
      <br>
      <div class=3D"gmail_quote">
        <div dir=3D"ltr" class=3D"gmail_attr">On Wed, Dec 16, 2020 at 4:59
          PM Rene Struik &lt;<a href=3D"mailto:rstruik.ext@gmail.com" targe=
t=3D"_blank">rstruik.ext@gmail.com</a>&gt; wrote:<br>
        </div>
        <blockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex=
;border-left:1px solid rgb(204,204,204);padding-left:1ex">
          <div>
            <div>Hi Jean-Philippe:</div>
            <div><br>
            </div>
            <div>Section 3 of the SipHash paper [1] writes &quot;We de=0Cfi=
ne
              SipHash-c-d for smaller c and d to provide targets for
              cryptanalysis. Cryptanalysts are thus invited to break&quot;,
              while Section 1 writes &quot;Our concrete proposal SipHash-2-=
4
              was designed and evaluated to be a cryptographically
              strong PRF (pseudorandom function), i.e.,
              indistinguishable from a uniform random function. <br>
            </div>
            <div>This implies its strength as a MAC.&quot;</div>
            <div><br>
            </div>
            <div>I am curious about the cryptanalysis that went into
              supporting the indistinguishability claim. From a cursory
              look at [1] and [2] I could not immediately find this. <br>
            </div>
            <div><br>
            </div>
            <div>Is indistinguishability the (or one of the) &quot;security
              goals&quot; alluded to, but not mentioned, on the last slide =
of
              the presentation [2]? <br>
            </div>
            <div><br>
            </div>
            <div>Best regards, Rene<br>
            </div>
            <div><br>
            </div>
            <div>Ref:</div>
            <div>[1] Hash Functions - SipHash, A Fast Short-Input PRF
              (Jean-Philippe Aumasson, Daniel Bernstein, DIAC 2012)<br>
            </div>
            <div>[2] <a href=3D"https://cr.yp.to/talks/2012.12.12/slides.pd=
f" target=3D"_blank">https://cr.yp.to/talks/2012.12.12/slides.pdf</a><br>
            </div>
            <div><br>
            </div>
            <div>On 2020-12-16 9:58 a.m., Jean-Philippe Aumasson wrote:<br>
            </div>
            <blockquote type=3D"cite">
              <div dir=3D"auto">SipHash co-author here, that draft uses
                the 2-4 versions (like the Linux kernel,=C2=A0
                <div dir=3D"auto"><a href=3D"https://www.kernel.org/doc/htm=
l/latest/security/siphash.html" target=3D"_blank">https://www.kernel.org/do=
c/html/latest/security/siphash.html</a>),
                  which has lower security margin than 4-8, but I=E2=80=99m=
 not
                  aware of any cryptanalysis result that would affect
                  any of these in the context of this proposed
                  application.</div>
                <div dir=3D"auto"><br>
                </div>
                <div dir=3D"auto"><br>
                </div>
              </div>
              <div><br>
                <div class=3D"gmail_quote">
                  <div dir=3D"ltr" class=3D"gmail_attr">On Wed 16 Dec 2020
                    at 01:03, Benjamin Kaduk &lt;<a href=3D"mailto:kaduk@mi=
t.edu" target=3D"_blank">kaduk@mit.edu</a>&gt;
                    wrote:<br>
                  </div>
                  <blockquote class=3D"gmail_quote" style=3D"margin:0px 0px=
 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">Hi all,=
<br>
                    <br>
                    We have a document (draft-ietf-dnsop-server-cookies)
                    in front of the IESG<br>
                    that proposes to use the SipHash-2-4 algorithm<br>
                    (<a href=3D"https://www.aumasson.jp/siphash/" rel=3D"no=
referrer" target=3D"_blank">https://www.aumasson.jp/siphash/</a>,<br>
                    <a href=3D"https://www.aumasson.jp/siphash/siphash.pdf"=
 rel=3D"noreferrer" target=3D"_blank">https://www.aumasson.jp/siphash/sipha=
sh.pdf</a>)
                    as a MAC over what is in some<br>
                    sense a return-routability and freshness token, the
                    &quot;DNS cookie&quot; originally<br>
                    specified in RFC 7873.<br>
                    <br>
                    Unfortunately, the authors of this draft have not
                    yet written down a clear<br>
                    description of what properties they believe are
                    needed from this MAC for<br>
                    this usage, which makes it slightly hard to confirm
                    that SipHash is a<br>
                    suitable algorithm for this purpose, though that is
                    certainly a question<br>
                    that I am interested in.<br>
                    <br>
                    Regardless of that, I would also like to get the
                    CFRG&#39;s input on whether<br>
                    SipHash is a suitable algorithm for its stated goals
                    (paraphrasing<br>
                    slightly): a performant keyed (family of) PRF
                    suitable for use as a MAC,<br>
                    with the security goal for a MAC being considered to
                    be that an attacker,<br>
                    even after seeing tags for many messages (perhaps
                    selected by the<br>
                    attacker), is unable to guess tags for any other
                    messages.<br>
                    <br>
                    In short: is SipHash fit for this purpose?<br>
                    <br>
                    There does seem to be a decent amount of literature
                    analyzing SipHash, but<br>
                    I have not attempted to review it to any significant
                    degree.<br>
                    <br>
                    Thanks,<br>
                    <br>
                    Ben<br>
                    <br>
                    _______________________________________________<br>
                    CFRG mailing list<br>
                    <a href=3D"mailto:CFRG@irtf.org" target=3D"_blank">CFRG=
@irtf.org</a><br>
                    <a href=3D"https://www.irtf.org/mailman/listinfo/cfrg" =
rel=3D"noreferrer" target=3D"_blank">https://www.irtf.org/mailman/listinfo/=
cfrg</a><br>
                  </blockquote>
                </div>
              </div>
              <br>
              <fieldset></fieldset>
              <pre>_______________________________________________
CFRG mailing list
<a href=3D"mailto:CFRG@irtf.org" target=3D"_blank">CFRG@irtf.org</a>
<a href=3D"https://www.irtf.org/mailman/listinfo/cfrg" target=3D"_blank">ht=
tps://www.irtf.org/mailman/listinfo/cfrg</a>
</pre>
            </blockquote>
            <p><br>
            </p>
            <pre cols=3D"72">--=20
email: <a href=3D"mailto:rstruik.ext@gmail.com" target=3D"_blank">rstruik.e=
xt@gmail.com</a> | Skype: rstruik
cell: +1 (647) 867-5658 | US: +1 (415) 287-3867</pre>
          </div>
        </blockquote>
      </div>
    </blockquote>
    <p><br>
    </p>
    <pre cols=3D"72">--=20
email: <a href=3D"mailto:rstruik.ext@gmail.com" target=3D"_blank">rstruik.e=
xt@gmail.com</a> | Skype: rstruik
cell: +1 (647) 867-5658 | US: +1 (415) 287-3867</pre>
  </div>

</blockquote></div>

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