Secondary constructions on generalized bent functions.

Brajesh Kumar Singh · 2012

Abstract. In this paper, we construct generalized bent Boolean functions in n + 2 variables from 4 generalized Boolean functions in n variables. We also show that the direct sum of two generalized bent Boolean functions is generalized bent. Finally, we identify a set of affine functions in which every function is generalized bent. Key words: Generalized Boolean functions; generalized bent functions; Walsh–Hadamard transform.

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