The Rayleigh Quotient of Bent Functions

Authors:
Lars Eirik Danielsen;Matthew G. Parker;Patrick Solé
Affiliations:
The Selmer Center, Department of Informatics, University of Bergen, Bergen, Norway N-5020;The Selmer Center, Department of Informatics, University of Bergen, Bergen, Norway N-5020;TelecomParisTech, Dept Comelec, CNRS LTCI, Paris, France
Venue:
Cryptography and Coding '09 Proceedings of the 12th IMA International Conference on Cryptography and Coding
Year:
2009

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Abstract

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.