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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 1, Pages 34–64
(Mi da599)
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This article is cited in 55 scientific papers (total in 55 papers)
Generalizations of bent functions
N. N. Tokarevaab a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
Bent functions (Boolean functions with extremal nonlinear properties) are intensively studied at present since they have numerous applications in cryptography, coding theory, and other areas. New statement of problems lead to appearance of many new generalizations of bent functions which are not well known to the specialists in Boolean functions. In the paper, a systematic survey of them is given. Bibl. 63.
Keywords:
Boolean function, the Walsh–Hadamard transform, nonlinearity, bent function, CDMA.
Received: 22.09.2009 Revised: 21.10.2009
Citation:
N. N. Tokareva, “Generalizations of bent functions”, Diskretn. Anal. Issled. Oper., 17:1 (2010), 34–64; J. Appl. Industr. Math., 5:1 (2011), 110–129
Linking options:
https://www.mathnet.ru/eng/da599 https://www.mathnet.ru/eng/da/v17/i1/p34
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