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搜索结果: 1-11 共查到index calculus相关记录11条 . 查询时间(0.06 秒)
Logical cryptanalysis, first introduced by Massacci in 2000, is a viable alternative to common algebraic cryptanalysis techniques over boolean fields. With XOR operations being at the core of many cry...
The introduction of summation polynomials for elliptic curves by Semaev has opened up new avenues of investigation in index calculus type algorithms for the elliptic curve discrete logarithm problem, ...
We discuss how to apply Gaudry’s index calculus algorithm for abelian varieties to solve the discrete logarithm problem in the trace zero variety of an elliptic curve. We treat in particular the pra...
In this paper, we present a variant of Diem’s Oe(q) index calculus algorithm to attack the discrete logarithm problem (DLP) in Jacobians of genus 3 non-hyperelliptic curves over a finite field Fq. W...
In this paper, we describe a new algorithm for discrete logarithms in small characteristic. It works especially well when the characteristic is fixed. Indeed, in this case, we obtain a total complexit...
Many index calculus algorithms generate multiplicative relations between smoothness basis elements by using a process called {\it Sieving}. This process allows to filter potential candidate relations ...
We present a new variant of cover and decomposition attacks on the elliptic curve discrete logarithm problem, that combines Weil descent and decomposition-based index calculus into a single discrete l...
We present a new variant of cover and decomposition attacks on the elliptic curve discrete logarithm problem, that combines Weil descent and decomposition-based index calculus into a single discrete l...
Gaudry present a variation of index calculus attack for solving the DLP in the Jacobian of hyperelliptic curves. Harley and Th´erialut improve these kind of algorithm. Here, we will present a ...
In this article, we examine how the index calculus approach for computing discrete loga- rithms in small genus hyperelliptic curves can be improved by introducing a double large prime variation. Two...
We present a novel index calculus algorithm for the discrete logarithm problem (DLP) in degree 0 class groups of curves over finite fields. A heuristic analysis of our algorithm indicates that asymp...

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