Titlebook: Bent Functions; Fundamentals and Res Sihem Mesnager Book 2016 Springer International Publishing Switzerland 2016 Bent functions.Boolean fun

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Bent Functions: Secondary Constructions,We call secondary a construction of bent functions from already known bent functions, in the same number of variables or not (while primary constructions, like Maiorana–McFarland construction, build bent functions from scratch).

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Bent Functions: Primary Constructions (Part II),In this chapter, we present large primary constructions of bent functions derived from a secondary construction due to Carlet. We’ll see different possibilities of constructions (using permutations, involutions, the linear structures etc.) whose existence is based on algebraic problems in finite fields.

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Bent Functions in Arbitrary Characteristic,In 1985, Kumar, Scholtz and Welch in [31] generalized the notion of Boolean bent functions to the case of functions over an arbitrary finite field. In this chapter we consider more generally bent functions in arbitrary characteristic . (where . is a prime integer).