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

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Paul Leopardi¹ 

[1] University of Melbourne

关键词: Bent functions;    Strongly regular graphs;    Clifford algebras;    Hurwitz-Radon;   

DOI  :  10.13069/jacodesmath.327377

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

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.

【 授权许可】

CC BY