On the asymptotic effectiveness of Weil descent attacks

Koray Karabina*, Alfred Menezes, Carl Pomerance, Igor E. Shparlinski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
1 Downloads (Pure)

Abstract

In this paper we investigate the asymptotic effectiveness of the Gaudry-Hess-Smart Weil descent attack and its generalization to the discrete logarithm problem for elliptic curves over characteristic-two finite fields. In particular we obtain nontrivial lower and upper bounds on the smallest possible genus to which it can lead.

Original languageEnglish
Pages (from-to)175-191
Number of pages17
JournalJournal of Mathematical Cryptology
Volume4
Issue number2
DOIs
Publication statusPublished - Oct 2010
Externally publishedYes

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