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Hi John^2,

This draft is being revisited presently, and any feedback from the group is
welcome, especially now.

If you missed it, Yumi gave a presentation at IETF 124 on the state of
things after the last RGLC. Since then, the chairs have been in touch with
the authors and with some new contributors who want to help with this
effort. We think there's momentum to continue this work and to get a draft
to RGLC again, though it may require setting up an interim meeting between
now and IETF 125 to tie everything up.

I'll start a thread by the end of the week to summarize the state of
affairs. There are still open questions, so it would be great to capture
them in that thread so we can reach consensus on a strategy for moving
forward on the topic of pairing-friendly curves.

Because many higher-level algorithms may rely on the recommendations in
this specification, it's important that we cover the topic in a way that
considers
- how best to help IETF engineers understand the security considerations of
protocols that use pairing-friendly curves
- the rationale behind which concrete parameter choices we list and produce
test vectors for
- whether this draft is opinionated about interfaces and abstractions
around these primitives (mapping to h2c for example)

Nick

On Tue, Nov 18, 2025 at 10:06=E2=80=AFAM John Bradley <ve7jtb@ve7jtb.com> w=
rote:

> Thanks, John M.
>
> That aligns with the feedback I have been getting over the last couple of
> weeks.
>
> Now that I am back from TPAC, I will try to follow up with the curves
> authors.
>
> Any feedback on BLS signatures?
>
> Regards
> John B.
>
> On Nov 18, 2025, at 5:47=E2=80=AFAM, John Mattsson <john.mattsson=3D
> 40ericsson.com@dmarc.ietf.org> wrote:
>
> Hi,
>
> I think it would be good to try to publish this asap. My two cents would
> be to focus on specifying:
>
> - BLS12_381
> - One BLS24 curve, one BLS48 curve, or both. I think many people might
> want some security margin when deploying pairing-based crypto.
> -  The ZCash serialization format
>
> I don't think "Selection of Pairing-Friendly Curves" including what is
> standardized in other SDO is essential. I think BN462 could be removed.
> less is more. Correctly if I am wrong but my understanding is that
> BLS12_381 is superior to BN462. Security of Pairing-Friendly Curve could =
be
> moved to security consideration or an appendix.
>
> Cheers,
> John
>
> On 2025-11-02, 22:17, "internet-drafts@ietf.org" <internet-drafts@ietf.or=
g>
> wrote:
>
> Internet-Draft draft-irtf-cfrg-pairing-friendly-curves-12.txt is now
> available. It is a work item of the Crypto Forum (CFRG) RG of the IRTF.
>
>    Title:   Pairing-Friendly Curves
>    Authors: Yumi Sakemi
>             Satoru Kanno
>             Riad S. Wahby
>    Name:    draft-irtf-cfrg-pairing-friendly-curves-12.txt
>    Pages:   54
>    Dates:   2025-11-02
>
> Abstract:
>
>    Pairing-based cryptography, a subfield of elliptic curve
>    cryptography, has received attention due to its flexible and
>    practical functionality.  Pairings are special maps defined using
>    elliptic curves and it can be applied to construct several
>    cryptographic protocols such as identity-based encryption, attribute-
>    based encryption, and so on.  At CRYPTO 2016, Kim and Barbulescu
>    proposed an efficient number field sieve algorithm named exTNFS for
>    the discrete logarithm problem in a finite field.  Several types of
>    pairing-friendly curves such as Barreto-Naehrig curves are affected
>    by the attack.  In particular, a Barreto-Naehrig curve with a 254-bit
>    characteristic was adopted by a lot of cryptographic libraries as a
>    parameter of 128-bit security, however, it ensures no more than the
>    100-bit security level due to the effect of the attack.  In this
>    memo, we list the security levels of certain pairing-friendly curves,
>    and motivate our choices of curves.  First, we summarize the adoption
>    status of pairing-friendly curves in standards, libraries and
>    applications, and classify them in the 128-bit, 192-bit, and 256-bit
>    security levels.  Then, from the viewpoints of "security" and "widely
>    used", we select the recommended pairing-friendly curves considering
>    exTNFS.
>
> The IETF datatracker status page for this Internet-Draft is:
> https://datatracker.ietf.org/doc/draft-irtf-cfrg-pairing-friendly-curves/
>
> There is also an HTML version available at:
>
> https://www.ietf.org/archive/id/draft-irtf-cfrg-pairing-friendly-curves-1=
2.html
>
> A diff from the previous version is available at:
>
> https://author-tools.ietf.org/iddiff?url2=3Ddraft-irtf-cfrg-pairing-frien=
dly-curves-12
>
> Internet-Drafts are also available by rsync at:
> rsync.ietf.org::internet-drafts
>
>
>
> _______________________________________________
> CFRG mailing list -- cfrg@irtf.org
> To unsubscribe send an email to cfrg-leave@irtf.org
>
>
> _______________________________________________
> CFRG mailing list -- cfrg@irtf.org
> To unsubscribe send an email to cfrg-leave@irtf.org
>

--000000000000b2b3890643e5fea2
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

<div dir=3D"ltr">Hi John^2,<div><br></div><div>This draft is being revisite=
d presently, and any feedback from the group is welcome, especially now.</d=
iv><div><br></div><div>If you missed it, Yumi gave a presentation at IETF 1=
24 on the state of things after the last RGLC. Since then, the chairs have =
been in touch with the authors and with some new contributors who want to h=
elp with this effort. We think there&#39;s momentum to continue this work a=
nd to get a draft to RGLC again, though it may require setting up an interi=
m meeting between now and IETF 125 to tie everything up.<br><br>I&#39;ll st=
art a thread by the end of the week to summarize the state of affairs. Ther=
e are still open questions, so it would be great to capture them in that th=
read so we can reach consensus on a strategy for moving forward on the topi=
c of pairing-friendly curves.<br><br>Because many higher-level algorithms m=
ay rely on the recommendations in this specification, it&#39;s important th=
at we cover the topic in a way that considers<br>- how best to help IETF en=
gineers understand the security considerations of protocols that use pairin=
g-friendly curves<br>- the rationale behind which concrete parameter choice=
s we list and produce test vectors for</div><div>- whether this draft is op=
inionated about interfaces and abstractions around these primitives (mappin=
g to h2c for example)<br><div><br></div><div>Nick</div></div></div><br><div=
 class=3D"gmail_quote gmail_quote_container"><div dir=3D"ltr" class=3D"gmai=
l_attr">On Tue, Nov 18, 2025 at 10:06=E2=80=AFAM John Bradley &lt;<a href=
=3D"mailto:ve7jtb@ve7jtb.com">ve7jtb@ve7jtb.com</a>&gt; wrote:<br></div><bl=
ockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-lef=
t:1px solid rgb(204,204,204);padding-left:1ex"><div>Thanks, John M.<div><br=
></div><div>That aligns with the feedback I have been getting over the last=
 couple of weeks.</div><div><br></div><div>Now that I am back from TPAC, I =
will try to follow up with the curves authors.</div><div><br></div><div>Any=
 feedback on BLS signatures?</div><div><br></div><div>Regards</div><div>Joh=
n B.<br id=3D"m_8275044357534516220lineBreakAtBeginningOfMessage"><div><br>=
<blockquote type=3D"cite"><div>On Nov 18, 2025, at 5:47=E2=80=AFAM, John Ma=
ttsson &lt;john.mattsson=3D<a href=3D"mailto:40ericsson.com@dmarc.ietf.org"=
 target=3D"_blank">40ericsson.com@dmarc.ietf.org</a>&gt; wrote:</div><br><d=
iv>



<div>
<div dir=3D"ltr" style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font=
-size:12pt">
Hi,</div>
<div dir=3D"ltr" style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font=
-size:12pt">
<br>
</div>
<div style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font-size:12pt">
I think it would be good to try to publish this asap. My two cents would be=
 to focus on specifying:</div>
<div dir=3D"ltr" style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font=
-size:12pt">
<br>
</div>
<div style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font-size:12pt">
- BLS12_381</div>
<div style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font-size:12pt">
- One BLS24 curve, one BLS48 curve, or both. I think many people might want=
 some security margin when deploying pairing-based crypto.</div>
<div style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font-size:12pt">
- =C2=A0The ZCash serialization format</div>
<div dir=3D"ltr" style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font=
-size:12pt">
<br>
</div>
<div style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font-size:12pt">
I don&#39;t think &quot;Selection of Pairing-Friendly Curves&quot; includin=
g what is standardized in other SDO is essential. I think BN462 could be re=
moved. less is more. Correctly if I am wrong but my understanding is that B=
LS12_381 is superior to BN462. Security of Pairing-Friendly
 Curve could be moved to security consideration or an appendix.</div>
<div dir=3D"ltr" style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font=
-size:12pt">
<br>
</div>
<div style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font-size:12pt">
Cheers,</div>
<div style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font-size:12pt">
John</div>
<div dir=3D"ltr" style=3D"font-family:Aptos,Arial,Helvetica,sans-serif;font=
-size:12pt">
<br>
</div>
On 2025-11-02, 22:17, &quot;<a href=3D"mailto:internet-drafts@ietf.org" tar=
get=3D"_blank">internet-drafts@ietf.org</a>&quot; &lt;<a href=3D"mailto:int=
ernet-drafts@ietf.org" target=3D"_blank">internet-drafts@ietf.org</a>&gt; w=
rote:<br>
<br>
<div>Internet-Draft draft-irtf-cfrg-pairing-friendly-curves-12.txt is now</=
div>
<div>available. It is a work item of the Crypto Forum (CFRG) RG of the IRTF=
.</div>
<div dir=3D"ltr"><br>
</div>
<div>=C2=A0=C2=A0 Title:=C2=A0=C2=A0 Pairing-Friendly Curves</div>
<div>=C2=A0=C2=A0 Authors: Yumi Sakemi</div>
<div>=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0Satoru Kanno</div>
<div>=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0Riad S. Wahby</div>
<div>=C2=A0=C2=A0 Name:=C2=A0=C2=A0=C2=A0=C2=A0draft-irtf-cfrg-pairing-frie=
ndly-curves-12.txt</div>
<div>=C2=A0=C2=A0 Pages:=C2=A0=C2=A0 54</div>
<div>=C2=A0=C2=A0 Dates:=C2=A0=C2=A0 2025-11-02</div>
<div dir=3D"ltr"><br>
</div>
<div>Abstract:</div>
<div dir=3D"ltr"><br>
</div>
<div>=C2=A0=C2=A0 Pairing-based cryptography, a subfield of elliptic curve<=
/div>
<div>=C2=A0=C2=A0 cryptography, has received attention due to its flexible =
and</div>
<div>=C2=A0=C2=A0 practical functionality.=C2=A0=C2=A0Pairings are special =
maps defined using</div>
<div>=C2=A0=C2=A0 elliptic curves and it can be applied to construct severa=
l</div>
<div>=C2=A0=C2=A0 cryptographic protocols such as identity-based encryption=
, attribute-</div>
<div>=C2=A0=C2=A0 based encryption, and so on.=C2=A0=C2=A0At CRYPTO 2016, K=
im and Barbulescu</div>
<div>=C2=A0=C2=A0 proposed an efficient number field sieve algorithm named =
exTNFS for</div>
<div>=C2=A0=C2=A0 the discrete logarithm problem in a finite field.=C2=A0=
=C2=A0Several types of</div>
<div>=C2=A0=C2=A0 pairing-friendly curves such as Barreto-Naehrig curves ar=
e affected</div>
<div>=C2=A0=C2=A0 by the attack.=C2=A0=C2=A0In particular, a Barreto-Naehri=
g curve with a 254-bit</div>
<div>=C2=A0=C2=A0 characteristic was adopted by a lot of cryptographic libr=
aries as a</div>
<div>=C2=A0=C2=A0 parameter of 128-bit security, however, it ensures no mor=
e than the</div>
<div>=C2=A0=C2=A0 100-bit security level due to the effect of the attack.=
=C2=A0=C2=A0In this</div>
<div>=C2=A0=C2=A0 memo, we list the security levels of certain pairing-frie=
ndly curves,</div>
<div>=C2=A0=C2=A0 and motivate our choices of curves.=C2=A0=C2=A0First, we =
summarize the adoption</div>
<div>=C2=A0=C2=A0 status of pairing-friendly curves in standards, libraries=
 and</div>
<div>=C2=A0=C2=A0 applications, and classify them in the 128-bit, 192-bit, =
and 256-bit</div>
<div>=C2=A0=C2=A0 security levels.=C2=A0=C2=A0Then, from the viewpoints of =
&quot;security&quot; and &quot;widely</div>
<div>=C2=A0=C2=A0 used&quot;, we select the recommended pairing-friendly cu=
rves considering</div>
<div>=C2=A0=C2=A0 exTNFS.</div>
<div dir=3D"ltr"><br>
</div>
<div>The IETF datatracker status page for this Internet-Draft is:</div>
<div><a href=3D"https://datatracker.ietf.org/doc/draft-irtf-cfrg-pairing-fr=
iendly-curves/" target=3D"_blank">https://datatracker.ietf.org/doc/draft-ir=
tf-cfrg-pairing-friendly-curves/</a></div>
<div dir=3D"ltr"><br>
</div>
<div>There is also an HTML version available at:</div>
<div><a href=3D"https://www.ietf.org/archive/id/draft-irtf-cfrg-pairing-fri=
endly-curves-12.html" target=3D"_blank">https://www.ietf.org/archive/id/dra=
ft-irtf-cfrg-pairing-friendly-curves-12.html</a></div>
<div dir=3D"ltr"><br>
</div>
<div>A diff from the previous version is available at:</div>
<div><a href=3D"https://author-tools.ietf.org/iddiff?url2=3Ddraft-irtf-cfrg=
-pairing-friendly-curves-12" target=3D"_blank">https://author-tools.ietf.or=
g/iddiff?url2=3Ddraft-irtf-cfrg-pairing-friendly-curves-12</a></div>
<div dir=3D"ltr"><br>
</div>
<div>Internet-Drafts are also available by rsync at:</div>
<div>rsync.ietf.org::internet-drafts</div>
<div dir=3D"ltr"><br>
</div>
<div dir=3D"ltr"><br>
</div>
<div dir=3D"ltr"><br>
</div>
</div>

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</blockquote></div>

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