A Note on Generalized Bent Criteria for Boolean Functions
NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS
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In this paper, we consider the spectra of Boolean functions with respect to the action of unitary transforms obtained by taking tensor products of the Hadamard kernel, denoted by H, and the nega-Hadamard kernel, denoted by N. The set of all such transforms is denoted by H,Nn. A Boolean function is said to be bent4 if its spectrum with respect to at least one unitary transform in H,Nn is flat. We obtain a relationship between bent, semi-bent and bent4 functions which is a generalization of the relationship between bent and negabent Boolean functions proved by Parker and Pott cf. LNCS 4893 2007, 9-23.
- Numerical Mathematics