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Algebraic Tori in Cryptography

by: Karl Rubin, Alice Silverberg
In In High Primes and Misdemeanours: Lectures in Honour of the 60th birthday of Hugh Cowie Williams, Vol. 41 (2004)  Key: citeulike:11159117

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Abstract

Abstract. We give a mathematical interpretation in terms of algebraic tori of Lucas-based cryptosystems, XTR, and the conjectural generalizations in [2]. We show that the varieties underlying these systems are quotients of algebraic tori by actions of products of symmetric groups. Further, we use these varieties to disprove conjectures from [2]. 1


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