Building Error-Correcting-Codes from T-Designs and Graphs.

被引:0
|
作者
Basart I Munoz, J.M. [1 ]
机构
[1] Univ Autonoma de Barcelona, Spain, Univ Autonoma de Barcelona, Spain
来源
Questiio | 1986年 / 10卷 / 02期
关键词
MATHEMATICAL TECHNIQUES - Graph Theory;
D O I
暂无
中图分类号
学科分类号
摘要
We present some combinatoric relations between two kinds of incidence structures like symmetric graphs and t-designs, and an algebraic structure as error-correcting-codes. Our goal is - using some fundamental properties of t-designs and graphs - to set some transformation to obtain or characterize families of codes. In the case of t-design we are interested in the quasisymmetric one, and in the case of the graph in the strongly-regular one.
引用
收藏
页码:93 / 97
相关论文
共 50 条
  • [1] INFINITE FAMILIES OF t-DESIGNS AND STRONGLY REGULAR GRAPHS FROM PUNCTURED CODES
    Heng, Ziling
    Li, Dexiang
    Liu, Fenjin
    Wang, Weiqiong
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2022, 16 (04) : 753 - 778
  • [2] Some t-designs from BCH codes
    Can Xiang
    Cryptography and Communications, 2022, 14 : 641 - 652
  • [3] Some t-designs from BCH codes
    Xiang, Can
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2022, 14 (03): : 641 - 652
  • [4] INCIDENCE GRAPHS CONSTRUCTED FROM t-DESIGNS
    Yang, Xu
    Liu, Weijun
    Liu, Henry
    Feng, Lihua
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2016, 10 (02) : 457 - 478
  • [5] A note on t-designs in isodual codes
    Awada, Madoka
    Miezaki, Tsuyoshi
    Munemasa, Akihiro
    Nakasora, Hiroyuki
    FINITE FIELDS AND THEIR APPLICATIONS, 2024, 95
  • [6] FROM T(M) TRIANGULAR GRAPHS TO SINGLE-ERROR-CORRECTING CODES
    BASART, JM
    HUGUET, L
    LECTURE NOTES IN COMPUTER SCIENCE, 1988, 307 : 5 - 12
  • [7] On t-designs from codes over Z4
    Helleseth, T
    Rong, CM
    Yang, KC
    DISCRETE MATHEMATICS, 2001, 238 (1-3) : 67 - 80
  • [8] Codes, Differentially δ-Uniform Functions, and t-Designs
    Tang, Chunming
    Ding, Cunsheng
    Xiong, Maosheng
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (06) : 3691 - 3703
  • [9] On binary linear codes supporting t-designs
    Lalaude-Labayle, M
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (06) : 2249 - 2255
  • [10] On t-designs and s-resolvable t-designs from hyperovals
    Tran Van Trung
    JOURNAL OF COMBINATORIAL DESIGNS, 2020, 28 (03) : 261 - 270