Cryptology ePrint Archive: Report 2010/486

A NOTE ON SEMI-BENT BOOLEAN FUNCTIONS

Claude Carlet and Sihem Mesnager

Abstract: We show how to construct semi-bent Boolean functions from PSap- like bent functions. We derive in nite classes of semi-bent functions in even dimension having multiple trace terms.

Category / Keywords: Boolean function, Bent functions, Maximum nonlinearity, Semi- bent function, Walsh-Hadamard transformation, Partial Spread class.

Date: received 14 Sep 2010, last revised 7 Nov 2010

Contact author: mesnager at math jussieu fr

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Version: 20101107:175349 (All versions of this report)

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