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This article is cited in 1 scientific paper (total in 1 paper)
Discrete mathematics and mathematical cybernetics
Connections between quaternary and Boolean bent functions
N. N. Tokarevaa, A. S. Shaporenkob, P. Soléc a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
c I2M, CNRS, Aix-Marseille University, Centrale Marseille, Marseilles, France
Abstract:
Boolean bent functions were introduced by Rothaus (1976) as combinatorial objects related to difference sets, and have since enjoyed a great popularity in symmetric cryptography and low correlation sequence design. In this paper connections between classical Boolean bent functions, generalized Boolean bent functions and quaternary bent functions are studied. We also study Gray images of bent functions and notions of generalized nonlinearity for functions that are relevant to generalized linear cryptanalysis.
Keywords:
Boolean functions, generalized Boolean functions, quaternary functions, bent functions, semi bent functions, nonlinearity, linear cryptanalysis, Gray map, $\mathbb{Z}_4$-linear codes.
Received October 5, 2020, published May 26, 2021
Citation:
N. N. Tokareva, A. S. Shaporenko, P. Solé, “Connections between quaternary and Boolean bent functions”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 561–578
Linking options:
https://www.mathnet.ru/eng/semr1381 https://www.mathnet.ru/eng/semr/v18/i1/p561
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Abstract page: | 261 | Full-text PDF : | 85 | References: | 19 |
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