The Rayleigh Quotient of Bent Functions

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.

• Type: Conference
• Year: 2009
• Where: IMA
• Authors: Lars Eirik Danielsen, Matthew G. Parker, Patrick Solé
• Keywords: Bent Functions, Cryptography, IMA 2009, Orthogonal Group, Rayleigh Quotient