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The Xedni Calculus and the Elliptic Curve Discrete Logarithm Problem
Designs, Codes and Cryptography, 2000This paper describes a possible way to solve the elliptic curve discrete logarithm problem, a problem upon which a number of cryptographic systems are based. The basic idea of the paper is to lift an elliptic curve over a finite field, together with some points on it, to the rationals.
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Multiple Discrete Logarithm Problems with Auxiliary Inputs
2015Let g be an element of prime order p in an abelian group and let $$\alpha _1, \dots , \alpha _L \in {\mathbb Z}_p$$ for a positive integer L. First, we show that, if $$g, g^{\alpha _i}$$, and $$g^{\alpha _i^d}$$$$i=1, \dots , L$$ are given for $$d \mid p-1$$, all the discrete logarithms $$\alpha _i$$'s can be computed probabilistically in $$\widetilde ...
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Practical Solving of Discrete Logarithm Problem over Prime Fields Using Quantum Annealing
Lecture Notes in Computer Science, 2022Michał Wroński
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On the discrete logarithm problem
Discrete Mathematics and Applications, 2014openaire +1 more source
The discrete logarithm problem in the group of non-singular circulant matrices
Groups, Complexity, Cryptology, 2010Ayan Mahalanobis
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A discrete logarithm problem over composite modulus
Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English Translation of Denshi Tsushin Gakkai Ronbunshi), 1993Yasuyuki Murakami, Masao Kasahara
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