Torus-Based Cryptography

نویسنده

  • Elisa Gorla
چکیده

In a series of three lectures, we will introduce the main concepts behind torus-based cryptography. Algebraic tori were suggested in 2003 by K. Rubin and A. Silverberg for use in public-key cryptography. Torus-based cryptosystems are based on the Discrete Logarithm Problem in a subgroup of Fqn called the primitive subgroup. It is conjectured that the elements of the primitive subgroup can be represented by only φ(n) elements of Fq (as opposed to n elements). Here φ is the Euler function, φ(n) = |Zn|.

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تاریخ انتشار 2011