Generalized bent Boolean functions and strongly regular Cayley graphs
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Authors
Riera, Constanza
Stănică, Pantelimon
Gangopadhyay, Sugata
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Date of Issue
2017-11
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ArXiv
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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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Preprint
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Applied Mathematics
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Format
13 p.
Citation
Riera, Constanza, Pantelimon Stănică, and Sugata Gangopadhyay. "Generalized bent Boolean functions and strongly regular Cayley graphs." Discrete Applied Mathematics (2020).
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.