## CryptoDB

### Paper: Improvement of Th?Leriault Algorithm of Index Calculus for Jacobian of Hyperelliptic Curves of Small Genus

Authors: Ko-ichi Nagao URL: http://eprint.iacr.org/2004/161 Search ePrint Search Google Gaudry present a variation of index calculus attack for solving the DLP in the Jacobian of hyperelliptic curves. Harley and Th?Lerialut improve these kind of algorithm. Here, we will present a variation of these kind of algorithm, which is faster than previous ones. Its complexity is $O(2-\frac{2}{g}+\epsilon)$. Recently, P. Gaudry and E. Thom'e http://eprint.iacr.org/2004/153/ present the algorithm, whose complexity is same as our results. So I submit my manuscript to this eprint archive.
##### BibTeX
@misc{eprint-2004-12133,
title={Improvement of Th?Leriault Algorithm of Index Calculus for Jacobian of Hyperelliptic Curves of Small Genus},
booktitle={IACR Eprint archive},
keywords={public-key cryptography / Index calculus attack, Jacobian, Hyperelliptic curve, DLP},
url={http://eprint.iacr.org/2004/161},
note={ nagao@kanto-gakuin.ac.jp 12608 received 8 Jul 2004},
author={Ko-ichi Nagao},
year=2004
}