Twin bent functions and Clifford algebras

Abstract

This paper examines a pair of bent functions on ${\mathbb{Z}}_2^{2m}$ and their relationship to a necessary condition for the existence of an automorphism of an edge-coloured graph whose colours are defined by the properties of a canonical basis for the real representation of the Clifford algebra ${\mathbb{R}}_{m,m}.$ Some other necessary conditions are also briefly examined.

11 pages. Preprint edited so that theorem numbers, etc. match those in the published book chapter. Final post-submission paragraph added to Section 6. in "Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014", Charles J. Colbourn (editor), pp. 189-199, 2015

Cited by in corpus (1)

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