THE CLASSIFICATION OF SELF-ORTHOGONAL CODES OVER Z(p2) OF LENGTHS <= 3

被引：0
|
作者：
Choi, Whan-Hyuk [1 ]
Kim, Kwang Ho [1 ]
Park, Sook Young [1 ]
机构：
[1] Kangwon Natl Univ, Dept Math, Chunchon 200701, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2014年 / 22卷 / 04期
关键词：
codes over rings; self-orthogonal codes; classification;
D O I：
10.11568/kjm.2014.22.4.725
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we find all inequivalent classes of selforthogonal codes over Z(p2) of lengths l <= 3 for all primes p, using similar method as in [3]. We find that the classification of self-orthogonal codes over Z(p2) includes the classification of all codes over Z(p). Consequently, we classify all the codes over Zp and self-orthogonal codes over Z(p2) of lengths l <= 3 according to the automorphism group of each code.
引用
收藏
页码：725 / 742
页数：18
相关论文
共 50 条
  • [1] On cyclic self-orthogonal codes over Z2m
    Qian, Kaiyan
    Zhu, Shixin
    Kai, Xiaoshan
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2015, 33 : 53 - 65
  • [2] Self-orthogonal Codes over Fq
    Galvez, Lucky Erap
    Betty, Rowena Alma
    Nemenzo, Fidel
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 13 (04): : 873 - 892
  • [3] Construction of self-orthogonal Z2k-codes
    Ban, Sara
    Rukavina, Sanja
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2024, 92 (05) : 1243 - 1250
  • [4] Classification of self-orthogonal codes over F3 and F4
    Bouyukliev, I
    Östergård, PRJ
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2005, 19 (02) : 363 - 370
  • [5] Classification of binary self-orthogonal codes of lengths from 16 to 20 and its application
    Minjia Shi
    Na Liu
    Jon-Lark Kim
    [J]. Journal of Applied Mathematics and Computing, 2023, 69 : 1173 - 1203
  • [6] Classification of binary self-orthogonal codes of lengths from 16 to 20 and its application
    Shi, Minjia
    Liu, Na
    Kim, Jon-Lark
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (01) : 1173 - 1203
  • [7] On the classification of weighing matrices and self-orthogonal codes
    Harada, Masaaki
    Munemasa, Akihiro
    [J]. JOURNAL OF COMBINATORIAL DESIGNS, 2012, 20 (01) : 40 - 57
  • [8] The classification of self-orthogonal codes of length 42
    Ghosh, Debashis
    Pal, Joydeb
    Dey, Lakshmi Kanta
    [J]. DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2018, 10 (06)
  • [9] On the classification of binary optimal self-orthogonal codes
    Li, Ruihu
    Xu, Zongben
    Zhao, Xuejun
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (08) : 3778 - 3782
  • [10] WEIGHT ENUMERATORS OF SELF-ORTHOGONAL CODES OVER GF(3)
    MALLOWS, CL
    SLOANE, NJA
    [J]. SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1981, 2 (04): : 452 - 460
12345