Welcome to the resource topic for 2008/196
Title:
A New Family of Perfect Nonlinear Binomials
Authors: Zhengbang Zha, Gohar M. Kyureghyan, Xueli Wang
Abstract:We prove that the binomials x^{p^s+1}-\alpha x^{p^k+p^{2k+s}} define perfect nonlinear mappings in GF(p^{3k}) for an appropriate choice of the integer s and \alpha \in GF(p^{3k}). We show that these binomials are inequivalent to known perfect nonlinear monomials. As a consequence we obtain new commutative semifields for p\geq 5 and odd k.
ePrint: https://eprint.iacr.org/2008/196
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