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cado-nfs - Re: [cado-nfs] In finite fields of medium characteristics, what does prevent shrinking the field size of even degrees down to their larger order in order to solve discrete logarithms ?

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Re: [cado-nfs] In finite fields of medium characteristics, what does prevent shrinking the field size of even degrees down to their larger order in order to solve discrete logarithms ?


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  • From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
  • To: Laël Cellier <lael.cellier@laposte.net>
  • Cc: cado-nfs@inria.fr
  • Subject: Re: [cado-nfs] In finite fields of medium characteristics, what does prevent shrinking the field size of even degrees down to their larger order in order to solve discrete logarithms ?
  • Date: Fri, 06 Dec 2024 10:26:04 +0100
  • Authentication-results: mail3-relais-sop.national.inria.fr; dkim=none (message not signed) header.i=none; spf=SoftFail smtp.mailfrom=Paul.Zimmermann@inria.fr; spf=None smtp.helo=postmaster@araignee
Hi,

> also, I’m a student. like many, I need to experiment to understand and
> that can’t be done if I don’t have access to an implementation…

20 years ago, there was no open-access implementation of NFS available,
thus students had to start from scratch to make experiments.

Nowadays you have access to at least CADO-NFS, which is a real chance
for students like you. Feel free to try your ideas on top of CADO-NFS
(or to compare your implementation to CADO-NFS).

Paul Zimmermann

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