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

Authors:
Ko-ichi Nagao
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URL: http://eprint.iacr.org/2004/161
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Abstract: 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
}