Generalized bent Boolean functions and strongly regular Cayley graphs

Constanza Riera; Pantelimon Stanica; Sugata Gangopadhyay

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arXiv · 1806.07601

Generalized bent Boolean functions and strongly regular Cayley graphs

Constanza Riera·Pantelimon Stanica·Sugata Gangopadhyay

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Abstract

In this paper we define the (edge-weighted) Cayley graph associated to a generalized Boolean function, introduce a notion of strong regularity and give several of its properties. We show some connections between this concept and generalized bent functions (gbent), that is, functions with flat Walsh-Hadamard spectrum. In particular, we find a complete characterization of quartic gbent functions in terms of the strong regularity of their associated Cayley graph.

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Constanza Riera, Pantelimon Stanica, Sugata Gangopadhyay. 2018-06-20. Generalized bent Boolean functions and strongly regular Cayley graphs. https://arxiv.org/abs/1806.07601

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