The symbol-pair distance distribution of a class of repeated-root cyclic codes over Fpm

被引:0
|
作者
Sun, Zhonghua [1 ]
Zhu, Shixin [1 ]
Wang, Liqi [1 ]
机构
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
Symbol-pair codes; Distance distribution; Cyclic codes; READ CHANNELS;
D O I
10.1007/s12095-017-0249-2
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Symbol-pair codes are proposed to protect against pair errors in symbol-pair read channel. One main task in symbol-pair coding theory is to determine the minimum pair-distance of symbol-pair codes. In this paper, we investigate the symbol-pair distance of cyclic codes of length p(e) over F-pm. The exact symbol-pair distance of all cyclic codes of such length is determined.
引用
收藏
页码:643 / 653
页数:11
相关论文
共 50 条
  • [1] MDS symbol-pair codes from repeated-root cyclic codes
    Ma, Junru
    Luo, Jinquan
    DESIGNS CODES AND CRYPTOGRAPHY, 2022, 90 (01) : 121 - 137
  • [2] On symbol-pair distances of repeated-root constacyclic codes of length 2ps over Fpm + uFpm and MDS symbol-pair codes
    Dinh, Hai Q.
    Singh, Abhay Kumar
    Thakur, Madhu Kant
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2023, 34 (06) : 1027 - 1043
  • [3] AMDS symbol-pair codes from repeated-root cyclic codes
    Ma, Junru
    Luo, Jinquan
    DISCRETE MATHEMATICS, 2023, 346 (07)
  • [4] MDS symbol-pair codes from repeated-root cyclic codes
    Junru Ma
    Jinquan Luo
    Designs, Codes and Cryptography, 2022, 90 : 121 - 137
  • [5] MDS Symbol-Pair Repeated-Root Constacylic Codes of Prime Power Lengths Over Fpm + uFpm
    Dinh, H. Q.
    Kumam, P.
    Kumar, P.
    Satpati, S.
    Singh, A. K.
    Yamaka, W.
    IEEE ACCESS, 2019, 7 : 145039 - 145048
  • [6] Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm[u]/⟨u3⟩
    Charkani, Mohammed E.
    Dinh, Hai Q.
    Laaouine, Jamal
    Yamaka, Woraphon
    MATHEMATICS, 2021, 9 (20)
  • [7] A NEW CLASS OF AMDS SYMBOL-PAIR CODES FROM REPEATED-ROOT CODES
    Yang, Jin
    Kai, Xiaoshan
    Tang, Yongsheng
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2024,
  • [8] MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes
    Tang, Xiuxin
    Luo, Rong
    FINITE FIELDS AND THEIR APPLICATIONS, 2023, 89
  • [9] Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths Over Fpm + uFpm
    Dinh, Hai Q.
    Bac Trong Nguyen
    Singh, Abhay Kumar
    Sriboonchitta, Songsak
    IEEE COMMUNICATIONS LETTERS, 2018, 22 (12) : 2400 - 2403
  • [10] On the symbol-pair distance of some classes of repeated-root constacyclic codes over Galois ring
    Dinh, Hai Q.
    Kumar, Narendra
    Singh, Abhay Kumar
    Singh, Manoj Kumar
    Gupta, Indivar
    Maneejuk, Paravee
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2023, 34 (01) : 111 - 128