Spectra of Boolean functions, subspaces of matrices, and going up versus going down

Authors:
Gary McGuire
Affiliations:
School of Mathematical Sciences, University College Dublin, Ireland
Venue:
AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
Year:
2007

Citing 2
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Construction of bent functions from near-bent functions

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Abstract

We will discuss two different but related topics. We first give a connection between the Fourier spectrum of Boolean functions and subspaces of skew-symmetric subspaces where each nonzero element has a lower bound on its rank. Secondly, we discuss some connections between bent and near-bent functions.