Eimear Byrne (UCD)

will speak on

CCZ-Equivalence and Codes

Time: 4:00PM
Date: Mon 1st February 2010
Location: Mathematical Sciences Seminar Room [map]

Abstract: CCZ-Equivalence is a topic normally studied in relation to APN functions. A pair of functions that are CCZ-equivalent have the same resistance to differential and linear cryptanalysis. It can be quite difficult to establish inequivalence of functions, even for power functions. A conjecture of Edel states that a pair of quadratic functions are CCZ-equivalent if and only if they are extended affine (EA)-equivalent. In this talk we discuss recent progress on this problem, with an application to the Gold functions. Theses results use some knowledge of the automorphism group of a binary code associated with a quadratic function.

(This talk is part of the Algebra and Number Theory series.)

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