Twin bent functions, strongly regular Cayley graphs, and Hurwitz-Radon theory

Year 2017, Volume: 4 Issue: 3, 271 - 280, 15.09.2017

Paul Leopardi

https://doi.org/10.13069/jacodesmath.327377

Cited By: 1

Abstract

The real monomial representations of Clifford algebras
give rise to two sequences of bent functions.
For each of these sequences, the corresponding Cayley graphs are
strongly regular graphs, and the corresponding sequences of strongly regular graph parameters
coincide.
Even so, the corresponding graphs in the two sequences are not isomorphic, except in the first 3
cases.
The proof of this non-isomorphism is a simple consequence of a theorem of Radon.

Keywords

Bent functions, Strongly regular graphs, Clifford algebras, Hurwitz-Radon

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