Ternary codes from some reflexive uniform subset graphs

被引：7
|
作者：
Fish, W. [1 ]
Key, J. D. [1 ]
Mwambene, E. [1 ]
机构：
[1] Univ Western Cape, Dept Math & Appl Math, ZA-7535 Bellville, South Africa
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2014年 / 25卷 / 05期
关键词：
Uniform subset graphs; Codes; Permutation decoding; BINARY-CODES; INCIDENCE MATRICES; REGULAR GRAPHS; TRIPLES;
D O I：
10.1007/s00200-014-0233-4
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We examine the ternary codes from matrices where is an adjacency matrix of a uniform subset graph of -subsets of a set of size with adjacency defined by subsets meeting in elements of , where . Most of the main parameters are obtained; the hulls, the duals, and other subcodes of the are also examined.
引用
收藏
页码：363 / 382
页数：20
相关论文
共 50 条
  • [1] Ternary codes from some reflexive uniform subset graphs
    W. Fish
    J. D. Key
    E. Mwambene
    Applicable Algebra in Engineering, Communication and Computing, 2014, 25 : 363 - 382
  • [2] BINARY CODES FROM REFLEXIVE UNIFORM SUBSET GRAPHS ON 3-SETS
    Fish, Washiela
    Key, Jennifer D.
    Mwambene, Eric
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2015, 9 (02) : 211 - 232
  • [3] Codes from Adjacency Matrices of Uniform Subset Graphs
    Fish, W.
    Key, J. D.
    Mwambene, E.
    GRAPHS AND COMBINATORICS, 2018, 34 (01) : 163 - 192
  • [4] Codes from Adjacency Matrices of Uniform Subset Graphs
    W. Fish
    J. D. Key
    E. Mwambene
    Graphs and Combinatorics, 2018, 34 : 163 - 192
  • [5] ON UNIFORM SUBSET GRAPHS
    SIMPSON, JE
    ARS COMBINATORIA, 1994, 37 : 309 - 318
  • [6] Ternary codes from graphs on triples
    Key, J. D.
    Moori, J.
    Rodrigues, B. G.
    DISCRETE MATHEMATICS, 2009, 309 (14) : 4663 - 4681
  • [7] Diameters of uniform subset graphs
    Chen, Yongzhu
    Wang, Weifan
    DISCRETE MATHEMATICS, 2008, 308 (24) : 6645 - 6649
  • [8] HAMILTONIAN UNIFORM SUBSET GRAPHS
    CHEN, BL
    LIH, KW
    JOURNAL OF COMBINATORIAL THEORY SERIES B, 1987, 42 (03) : 257 - 263
  • [9] Dominating sets for uniform subset graphs
    Bahmani, Abolfazl
    Emami, Mojgan
    Naserian, Ozra
    LINEAR & MULTILINEAR ALGEBRA, 2024, 72 (02): : 283 - 295
  • [10] Ternary Numbers, Algebras of Reflexive Numbers and Berger Graphs
    Alexey Dubrovski
    Guennadi Volkov
    Advances in Applied Clifford Algebras, 2007, 17 : 159 - 181
12345