Time-memory trade-offs for index calculus in genus 3

In this paper, we present a variant of Diem's O˜(q)${\widetilde{O}(q)}$ index calculus algorithm to attack the discrete logarithm problem (DLP) in Jacobians of genus 3 non-hyperelliptic curves over a finite field 𝔽q. We implement this new variant in C++ and study the complexity in both theory a...

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Bibliographic Details
Main Authors: Laine Kim, Lauter Kristin
Format: Article
Language:English
Published: De Gruyter 2015-06-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2014-0033