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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...
We define and characterise selfnegadual generalised quadratic Boolean functions by establishing a link, both to the multiplicative order of symmetric binary matrices, and also to the Hermitian self-dual $${\mathbb{F}_4}$$ -linear codes. This facilitates a novel way to classify Hermitian self-dual $${\mathbb{F}_4}$$ -linear codes.
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