Applications of Strongly Regular Cayley Graphs to Codebooks

被引:2
|
作者
Wang, Qiuyan [1 ]
Liang, Xiaodan [1 ,2 ]
Jin, Rize [3 ]
Yan, Yang [4 ]
机构
[1] Tiangong Univ, Sch Comp Sci & Technol, Tianjin 300387, Peoples R China
[2] Minist Educ, Engn Res Ctr Integrat & Applicat Digital Learning, Beijing 100039, Peoples R China
[3] Tiangong Univ, Sch Software, Tianjin 300387, Peoples R China
[4] Tianjin Univ Technol & Educ, Sch Informat Technol Engn, Tianjin 300222, Peoples R China
关键词
Gauss sums; codebooks; strongly regular graphs; Cayley graphs; ASYMPTOTICALLY OPTIMAL CODEBOOKS; CONSTRUCTIONS;
D O I
10.1109/ACCESS.2023.3320559
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we give a construction of strongly regular Cayley graphs on the finite field Fqn. As applications of these strongly regular Cayley graphs, a class of codebooks is presented and proved to be asymptotically optimal with respect to the Welch bound. Further more, these constructed codebooks have new parameters.
引用
收藏
页码:106980 / 106986
页数:7
相关论文
共 50 条
  • [1] A construction of strongly regular Cayley graphs and their applications to codebooks
    Yan, Yang
    Zhang, Xingguo
    Jin, Rize
    Zhou, Limin
    AIMS MATHEMATICS, 2024, 9 (02): : 2672 - 2683
  • [2] A class of nearly optimal codebooks and their applications in strongly regular Cayley graphs
    Wang, Qiuyan
    Liu, Weixin
    Wang, Jianming
    Yan, Yang
    AIMS MATHEMATICS, 2024, 9 (07): : 18236 - 18246
  • [3] Cayley sum graphs and their applications to codebooks
    Satake, Shohei
    Gu, Yujie
    DESIGNS CODES AND CRYPTOGRAPHY, 2022, 91 (4) : 1315 - 1333
  • [4] Cayley sum graphs and their applications to codebooks
    Shohei Satake
    Yujie Gu
    Designs, Codes and Cryptography, 2023, 91 : 1315 - 1333
  • [5] Strongly regular semi-cayley graphs
    1600, Publ by Kluwer Academic Publishers Group, Dordrecht, Neth (01):
  • [6] Strongly regular tri-Cayley graphs
    Kutnar, Klavdija
    Marusic, Dragan
    Miklavic, Stefko
    Sparl, Primoz
    EUROPEAN JOURNAL OF COMBINATORICS, 2009, 30 (04) : 822 - 832
  • [7] Lifting constructions of strongly regular Cayley graphs
    Momihara, Koji
    Xiang, Qing
    FINITE FIELDS AND THEIR APPLICATIONS, 2014, 26 : 86 - 99
  • [8] Directed strongly regular Cayley graphs on dihedral groups
    He, Yiqin
    Zhang, Bicheng
    Feng, Rongquan
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 391
  • [9] QUASI m-CAYLEY STRONGLY REGULAR GRAPHS
    Kutnar, Klavdija
    Malnic, Aleksander
    Martinez, Luis
    Marusic, Dragan
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (06) : 1199 - 1211
  • [10] On a family of quasi-strongly regular Cayley graphs
    Biswas, Sucharita
    Das, Angsuman
    COMMUNICATIONS IN ALGEBRA, 2025, 53 (03) : 1138 - 1147