Improvements to the founds on optimal ternary linear codes of dimension 6

被引：1
|
作者：
Gulliver, TA [1 ]
机构：
[1] CARLETON UNIV,DEPT SYST & COMP ENGN,OTTAWA,ON K1S 5B6,CANADA
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 1997年 / 43卷 / 05期
关键词：
optimal ternary linear codes; quasi-twisted codes;
D O I：
10.1109/18.623165
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 correspondence, new ternary codes of dimension 6 are presented which improve the bounds on optimal linear codes. These codes belong to the class of quasi-twisted (QT) codes, and have been constructed using a greedy algorithm. This work extends previous results on QT codes of dimension 6. In particular, several new two-weight QT codes are presented. Numerous new optimal codes which meet the Griesmer bound are given, as well as others which establish lower bounds on the maximum minimum distance.
引用
收藏
页码：1632 / 1638
页数：7
相关论文
共 50 条
  • [41] New ternary linear codes
    Daskalov, RN
    Gulliver, TA
    Metodieva, E
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (05) : 1687 - 1688
  • [42] Ternary linear codes and quadrics
    Yoshida, Yuri
    Maruta, Tatsuya
    ELECTRONIC JOURNAL OF COMBINATORICS, 2009, 16 (01):
  • [43] Extendability of ternary linear codes
    Maruta, T
    DESIGNS CODES AND CRYPTOGRAPHY, 2005, 35 (02) : 175 - 190
  • [44] Optimal binary and ternary locally repairable codes with minimum distance 6
    Wenqin Zhang
    Yuan Luo
    Lele Wang
    Designs, Codes and Cryptography, 2024, 92 : 1251 - 1265
  • [45] Optimal binary and ternary locally repairable codes with minimum distance 6
    Zhang, Wenqin
    Luo, Yuan
    Wang, Lele
    DESIGNS CODES AND CRYPTOGRAPHY, 2024, 92 (05) : 1251 - 1265
  • [46] Optimal Linear Codes Over GF(7) and GF(11) with Dimension 3
    Emami, M.
    Pedram, L.
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2015, 10 (01): : 11 - 22
  • [47] Characterization and classification of optimal ternary linear one-dimensional hull codes
    Tong, Tingting
    Li, Shitao
    Shi, Minjia
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (06) : 5557 - 5574
  • [48] On Optimal Ternary Locally Repairable Codes
    Hao, Jie
    Xia, Shu-Tao
    Chen, Bin
    2017 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2017, : 171 - 175
  • [49] Locality of Some Optimal Ternary Codes
    Guo, Luobin
    Fu, Qiang
    Chen, Gang
    Yang, Ruipan
    3RD ANNUAL INTERNATIONAL CONFERENCE ON INFORMATION SYSTEM AND ARTIFICIAL INTELLIGENCE (ISAI2018), 2018, 1069
  • [50] A Note on Optimal Constant Dimension Codes
    Liao, Qunying
    Zhu, Juan
    INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2015, 26 (01) : 143 - 152
12345