English

Twin bent functions and Clifford algebras

Combinatorics 2019-04-22 v2

Abstract

This paper examines a pair of bent functions on Z22m\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 Rm,m.\mathbb{R}_{m,m}. Some other necessary conditions are also briefly examined.

Keywords

Cite

@article{arxiv.1501.05477,
  title  = {Twin bent functions and Clifford algebras},
  author = {Paul C. Leopardi},
  journal= {arXiv preprint arXiv:1501.05477},
  year   = {2019}
}

Comments

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