Codes associated with circulant graphs and permutation decoding

被引:0
|
作者
Padmapani Seneviratne
机构
[1] American University of Sharjah,Department of Mathematics & Statistics
来源
关键词
Codes; Circulant graphs; Permutation decoding; 05B05; 05C90; 94B35;
D O I
暂无
中图分类号
学科分类号
摘要
Binary codes that can be obtained from designs associated with circulant graphs G(n, S) are studied. The parameters of the codes and the information sets are obtained. PD-sets for full-error correction are found for certain values of n.
引用
收藏
页码:27 / 33
页数:6
相关论文
共 50 条
  • [31] Partial Permutation Decoding for Abelian Codes
    Joaquin Bernal, Jose
    Jacobo Simon, Juan
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2013, 59 (08) : 5152 - 5170
  • [32] Partial permutation decoding for MacDonald codes
    Key, Jennifer D.
    Seneviratne, Padmapani
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2016, 27 (05) : 399 - 412
  • [33] Optimal bounds on codes for location in circulant graphs
    Junnila, Ville
    Laihonen, Tero
    Paris, Gabrielle
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (04): : 621 - 640
  • [34] Perfect codes for metrics induced by circulant graphs
    Martinez, Cannen
    Beivide, Ramon
    Gabidulin, Emst
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (09) : 3042 - 3052
  • [35] APPLICATION OF CIRCULANT MATRICES TO THE CONSTRUCTION AND DECODING OF LINEAR CODES
    ROTH, RM
    LEMPEL, A
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) : 1157 - 1163
  • [36] Properties and parameters of codes from line graphs of circulant graphs
    Seneviratne, Pani
    Melendez, Jennifer D.
    Westbrooks, Alexander N.
    Journal of Combinatorial Mathematics and Combinatorial Computing, 2020, 114 : 353 - 360
  • [37] Optimal bounds on codes for location in circulant graphs
    Ville Junnila
    Tero Laihonen
    Gabrielle Paris
    Cryptography and Communications, 2019, 11 : 621 - 640
  • [38] Reed-Muller codes and permutation decoding
    Key, J. D.
    McDonough, T. P.
    Mavron, V. C.
    DISCRETE MATHEMATICS, 2010, 310 (22) : 3114 - 3119
  • [39] Decoding mixed errors and erasures in permutation codes
    Hunt, Francis H.
    Perkins, Stephanie
    Smith, Derek H.
    DESIGNS CODES AND CRYPTOGRAPHY, 2015, 74 (02) : 481 - 493
  • [40] Decoding mixed errors and erasures in permutation codes
    Francis H. Hunt
    Stephanie Perkins
    Derek H. Smith
    Designs, Codes and Cryptography, 2015, 74 : 481 - 493