Investigations on c-(Almost) Perfect Nonlinear Functions

In a prior paper (Ellingsen et al. , 2020), two of us, along with P. Ellingsen, P. Felke, and A. Tkachenko, defined a new (output) multiplicative differential and the corresponding <inline-formula> <tex-math notation="LaTeX">c </tex-math></inline-formula>-differenti...

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Vydáno v:	IEEE transactions on information theory Ročník 67; číslo 10; s. 6916 - 6925
Hlavní autoři:	Mesnager, Sihem, Riera, Constanza, Stanica, Pantelimon, Yan, Haode, Zhou, Zhengchun
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York IEEE 01.10.2021 The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Institute of Electrical and Electronics Engineers
Témata:	11T06 94A60 94D10 <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">c -differential <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">p -ary function Boolean function Boolean functions Ciphers Cryptography Data structures differential uniformity Gold Mathematics MSC 2000: 06E30 perfect and almost perfect <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">c -nonlinearity Resistance Transforms Walsh transform
ISSN:	0018-9448, 1557-9654
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