Cryptology ePrint Archive: Report 2011/111

Generalizations of Bent Functions. A Survey

Natalia Tokareva

Abstract: Bent functions (Boolean functions with extreme nonlinearity properties) are actively studied for their numerous applications in cryptography, coding theory, and other fields. New statements of problems lead to a large number of generalizations of the bent functions many of which remain little known to the experts in Boolean functions. In this article, we offer a systematic survey of them.

Category / Keywords: foundations / boolean functions, nonlinearity, bent functions, generalized bent functions

Date: received 6 Mar 2011

Contact author: tokareva at math nsc ru

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Version: 20110306:192906 (All versions of this report)

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