Generalised Bent Criteria for Boolean Functions (I)

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

2005-02-09

arxiv.org/abs/cs/0502049v1

Computer Science

Information Theory

29 pages, submitted to IEEE Trans. Inform Theory

Scientific paper

Generalisations of the bent property of a boolean function are presented, by proposing spectral analysis with respect to a well-chosen set of local unitary transforms. Quadratic boolean functions are related to simple graphs and it is shown that the orbit generated by successive Local Complementations on a graph can be found within the transform spectra under investigation. The flat spectra of a quadratic boolean function are related to modified versions of its associated adjacency matrix.

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