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A double large prime variation for small genus hyperelliptic index calculus
In this article, we examine how the index calculus approach for computing discrete logarithms in small genus hyperelliptic curves can be improved by introducing a... -
The filtering step of discrete logarithm and integer factorization algorithms
The security of most current public-key cryptosystems is based on the difficulty of finding discrete logarithms in large finite fields or factoring large integers.... -
Algorithms of discrete logarithm in finite fields
In this thesis we study at length the discrete logarithm problem in finite fields. In the first part, we focus on the notion of smoothness and on ECM, the fastest...
