A construction of strongly regular Cayley graphs and their applications to codebooks

Autor: Yang Yan, Xingguo Zhang, Rize Jin, Limin Zhou
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 2, Pp 2672-2683 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024132?viewType=HTML
Popis: In this paper, we give a kind of strongly regular Cayley graphs and a class of codebooks. Both constructions are based on choosing subsets of finite fields, and the main tools that we employed are Gauss sums. In particular, these obtained codebooks are asymptotically optimal with respect to the Welch bound and they have new parameters.
Databáze: Directory of Open Access Journals