Generalised Bent Criteria for Boolean Functions (II)

Details Generalised Bent Criteria for Boolean Functions (II) Generalised Bent Criteria for Boolean Functions (II)

2005-02-09

arxiv.org/abs/cs/0502050v1

Computer Science

Information Theory

18 pages, submitted to IEEE Trans. Inform. Theory

Scientific paper

In the first part of this paper [16], some results on how to compute the flat spectra of Boolean constructions w.r.t. the transforms {I,H}^n, {H,N}^n and {I,H,N}^n were presented, and the relevance of Local Complementation to the quadratic case was indicated. In this second part, the results are applied to develop recursive formulae for the numbers of flat spectra of some structural quadratics. Observations are made as to the generalised Bent properties of boolean functions of algebraic degree greater than two, and the number of flat spectra w.r.t. {I,H,N}^n are computed for some of them.

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