[Resource Topic] 2004/239: Geometric Key Establishment

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Geometric Key Establishment

Authors: Arkady Berenstein, Leon Chernyak


We propose a new class of key establishment schemes which are based on geometric generalizations of the classical Diffie-Hellman. The simplest of our schemes – based on the geometry of the unit circle – uses only multiplication of rational numbers by integers and addition of rational numbers in its key creation. Its first computer implementation works significantly faster than all known implementations of Diffie-Hellman. Preliminary estimations show that our schemes are resistant to attacks. This resistance follows the pattern of the discrete logarithm problem and hardness of multidimensional lattice problems

ePrint: https://eprint.iacr.org/2004/239

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