[Resource Topic] 2011/373: An efficient characterization of a family of hyperbent functions with multiple trace terms

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Title:
An efficient characterization of a family of hyperbent functions with multiple trace terms

Authors: Jean-Pierre Flori, Sihem Mesnager

Abstract:

Lisoněk recently reformulated the characterization of Charpin and Gong of a large class of hyperbent functions in terms of cardinalities of curves. In this note, we show that such a reformulation can be naturally extended to a distinct family of functions proposed by Mesnager. Doing so, a polynomial time and space test is obtained to test the hyperbentness of functions in this family. Finally we show how this reformulation can be transformed to obtain a more efficient test.

ePrint: https://eprint.iacr.org/2011/373

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