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ASIACRYPT
2003
Springer

Index Calculus Attack for Hyperelliptic Curves of Small Genus

12 years 1 months ago
Index Calculus Attack for Hyperelliptic Curves of Small Genus
We present a variation of the index calculus attack by Gaudry which can be used to solve the discrete logarithm problem in the Jacobian of hyperelliptic curves. The new algorithm has a running time which is better than the original index calculus attack and the Rho method (and other square-root algorithms) for curves of genus ≥ 3. We also describe another improvement for curves of genus ≥ 4 (slightly slower, but less dependent on memory space) initially mentioned by Harley and used in a number of papers, but never analyzed in details.
Nicolas Thériault
Added 06 Jul 2010
Updated 06 Jul 2010
Type Conference
Year 2003
Where ASIACRYPT
Authors Nicolas Thériault
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