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Title:
New commutative semifields defined by PN multinomials
Authors: Lilya Budaghyan, Tor Helleseth
Abstract:We introduce infinite families of perfect nonlinear Dembowski-Ostrom multinomials over F_{p^{2k}} where p is any odd prime. We prove that for k odd and p\ne3 these PN functions define new commutative semifields (in part by studying the nuclei of these semifields). This implies that these functions are CCZ-inequivalent to all previously known PN mappings.
ePrint: https://eprint.iacr.org/2009/053
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