New one-generator quasi-cyclic codes over GF(7)

被引：0
|
作者：
Daskalov, R.
Khristov, P.
机构：
来源：
Problemy Peredachi Informatsii | 2002年 / 38卷 / 01期
关键词：
Analysis - Design - Encoding (symbols) - Matrix algebra - Polynomials;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The [n,k,d]q-codes are considered that are linear codes of length n and dimensionality k with the minimum Hamming distance d over the GF(7). The seventeen new codes are constructed that improves the known lower boundaries on minimum distance. The generating polynomials are used.
引用
收藏
页码：59 / 63
相关论文
共 50 条
  • [21] 1-generator quasi-cyclic codes over finite chain rings
    Cao, Yonglin
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2013, 24 (01) : 53 - 72
  • [22] A class of 1-generator quasi-cyclic codes
    Séguin, GE
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (08) : 1745 - 1753
  • [23] Quaternary 1-generator quasi-cyclic codes
    Jie Cui
    Junying Pei
    Designs, Codes and Cryptography, 2011, 58 : 23 - 33
  • [24] Quaternary 1-generator quasi-cyclic codes
    Cui, Jie
    Pei, Junying
    DESIGNS CODES AND CRYPTOGRAPHY, 2011, 58 (01) : 23 - 33
  • [25] Quasi-cyclic codes as cyclic codes over a family of local rings
    Dougherty, Steven T.
    Fernandez-Cordoba, Cristina
    Ten-Valls, Roger
    FINITE FIELDS AND THEIR APPLICATIONS, 2016, 40 : 138 - 149
  • [26] Some new binary quasi-cyclic codes from codes over the ring
    Aydin, Nuh
    Karadeniz, Suat
    Yildiz, Bahattin
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2013, 24 (05) : 355 - 367
  • [27] New quasi-cyclic codes from simplex codes
    Chen, Eric Z.
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (03) : 1193 - 1196
  • [28] On quasi-cyclic codes
    Heijnen, P
    van Tilborg, H
    Weijs, S
    1998 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 1998, : 65 - 65
  • [29] New codes from chains of quasi-cyclic codes
    Grassl, M
    White, G
    2005 IEEE International Symposium on Information Theory (ISIT), Vols 1 and 2, 2005, : 2095 - 2099
  • [30] 1-generator generalized quasi-cyclic codes over Z4
    Wu, Tingting
    Gao, Jian
    Fu, Fang-Wei
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2017, 9 (02): : 291 - 299
12345