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The Rayleigh quotient of bent functions. (English) Zbl 1234.06010
Parker, Matthew G. (ed.), Cryptography and coding. 12th IMA international conference, cryptography and coding 2009, Cirencester, UK, December 15–17, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-10867-9/pbk). Lecture Notes in Computer Science 5921, 418-432 (2009).
Summary: The Rayleigh quotient of a bent function is an invariant under the action of the orthogonal group, and it measures the distance of the function to its dual. An efficient algorithm is derived that generates all bent functions of given Rayleigh quotient. The Rayleigh quotient of some bent functions obtained by primary (Maiorana McFarland, Dillon) or secondary (direct and indirect sum) constructions is computed.
For the entire collection see [Zbl 1178.94006].

MSC:
06E30 Boolean functions
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