[Resource Topic] 2010/114: The Discrete Logarithm Problem Modulo One: Cryptanalysing the Ariffin--Abu cryptosystem

Welcome to the resource topic for 2010/114

Title:
The Discrete Logarithm Problem Modulo One: Cryptanalysing the Ariffin–Abu cryptosystem

Authors: Simon R. Blackburn

Abstract:

The paper provides a cryptanalysis the AA_\beta-cryptosystem recently proposed by Ariffin and Abu. The scheme is in essence a key agreement scheme whose security is based on a discrete logarithm problem in the infinite (additive) group \mathbb{R}/\mathbb{Z} (the reals modulo 1). The paper breaks the AA_\beta-cryptosystem (in a passive adversary model) by showing that this discrete logarithm problem can be efficiently solved in practice.

ePrint: https://eprint.iacr.org/2010/114

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