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
来源：
IEEE ACCESS | 2023年 / 11卷
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
  • [11] Strongly regular Cayley graphs over the group Zpn ⊕ Zpn
    Leifman, YI
    Muzychuk, ME
    DISCRETE MATHEMATICS, 2005, 305 (1-3) : 219 - 239
  • [12] Strongly regular m-Cayley circulant graphs and digraphs
    Martinez, Luis
    ARS MATHEMATICA CONTEMPORANEA, 2015, 8 (01) : 195 - 213
  • [13] Generalized bent Boolean functions and strongly regular Cayley graphs
    Riera, Constanza
    Stanica, Pantelimon
    Gangopadhyay, Sugata
    DISCRETE APPLIED MATHEMATICS, 2020, 283 (283) : 367 - 374
  • [14] Constructions of strongly regular Cayley graphs derived from weakly regular bent functions
    Qian, Liqin
    Cao, Xiwang
    Michel, Jerod
    DISCRETE MATHEMATICS, 2024, 347 (05)
  • [15] STRONGLY REGULAR CAYLEY-GRAPHS WITH LAMBDA-MU=-1
    ARASU, KT
    JUNGNICKEL, D
    MA, SL
    POTT, A
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1994, 67 (01) : 116 - 125
  • [16] On minimal directed strongly regular Cayley graphs over dihedral groups
    Liu, Weijun
    Han, Yueli
    Lu, Lu
    APPLIED MATHEMATICS AND COMPUTATION, 2024, 473
  • [17] Constructions of Strongly Regular Cayley Graphs Using Even Index Gauss Sums
    Wu, Fan
    JOURNAL OF COMBINATORIAL DESIGNS, 2013, 21 (10) : 432 - 446
  • [18] A new class of directed strongly regular Cayley graphs over dicyclic groups
    Cheng, Tao
    Mao, Junchao
    AIMS MATHEMATICS, 2024, 9 (09): : 24184 - 24192
  • [19] Constructions of strongly regular Cayley graphs using index four Gauss sums
    Gennian Ge
    Qing Xiang
    Tao Yuan
    Journal of Algebraic Combinatorics, 2013, 37 : 313 - 329
  • [20] Constructions of strongly regular Cayley graphs using index four Gauss sums
    Ge, Gennian
    Xiang, Qing
    Yuan, Tao
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2013, 37 (02) : 313 - 329
12345