## IACR paper details

Title | On the Big Gap Between $|p|$ and $|q|$ in DSA |
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Booktitle | IACR Eprint archive |
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Pages | |
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Year | 2007 |
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URL | http://eprint.iacr.org/2007/320 |
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Author | Zhengjun Cao |
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Abstract |
We introduce a message attack against DSA and show that the security of DSA is indeed reduced to the following problem, i.e., find $\theta\in \mathbb{Z}_q^*$ such that\\
\centerline{$z=(\hat g^{\theta} \,\mbox{mod}\, p)\, \mbox{mod}\, q $}\\
where $\mbox{Ord}_p(\hat g)=q$ and
$z\in \mathbb{Z}_q^*$ is randomly chosen by the adversary.
Compared with the common key-only attack, i.e., find $x\in \mathbb{Z}_q^*$ such that\\
\centerline{$ y= g^x \,\mbox{mod}\, p$}\\ the message attack is more effective because of the big gap between
$|p|$ (1024-bit) and $|q|$ (160-bit). |
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Search for the paper

@misc{eprint-2007-13600,
title={On the Big Gap Between $|p|$ and $|q|$ in DSA},
booktitle={IACR Eprint archive},
keywords={DSA, Schnorr's signature, message attack},
url={http://eprint.iacr.org/2007/320},
note={ caozhj@shu.edu.cn 13741 received 15 Aug 2007, last revised 16 Aug 2007},
author={Zhengjun Cao},
year=2007
}

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