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Title:
Modifications of Bijective S-Boxes with Linear Structures
Authors: Kaisa Nyberg
Abstract:Various systematic modifications of vectorial Boolean functions have been used for finding new previously unknown classes of S-boxes with good or even optimal differential uniformity and nonlinearity. In this paper, a new general modification method is given that preserves the bijectivity property of the function in case the inverse of the function admits a linear structure. A previously known construction of such a modification based on bijective Gold functions in odd dimension is a special case of the new method.
ePrint: https://eprint.iacr.org/2022/1550
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