A class of constacyclic codes over Zpm

被引：15
|
作者：
Zhu, Shixin [1 ,2 ]
Kai, Xiaoshan [1 ,2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2010年 / 16卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Constacyclic codes; Galois rings; Generator polynomials; Discrete Fourier transform; FINITE CHAIN RINGS; NEGACYCLIC CODES; CYCLIC CODES; EVEN LENGTH; Z(4); 2(S); DISTANCES;
D O I：
10.1016/j.ffa.2010.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study (1 + lambda p)-constacyclic codes over Z(pm) of an arbitrary length, where lambda is a unit of Z(pm) and m >= 2 is a positive integer. We first derive the structure of (1 + lambda p)-constacyclic codes of length p(s) over GR(p(m), a) and determine the Hamming and homogeneous distances of such constacyclic codes. These codes are then used to classify all (1 + lambda p)-constacyclic codes over Z(pm) of length N = p(s)n (n prime to p). In particular, the Gray images of (1 + lambda p)-constacyclic codes over Z(p2) are also discussed. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：243 / 254
页数：12
相关论文
共 50 条
  • [1] A class of constacyclic codes over Zpm
    Liao, Dajian
    Journal of Applied Sciences, 2013, 13 (16) : 3227 - 3232
  • [2] On Constacyclic codes over Zpm
    Charkani, Mohammed Elhassani
    Kabore, Joel
    2014 5TH WORKSHOP ON CODES, CRYPTOGRAPHY AND COMMUNICATION SYSTEMS (WCCCS' 14), 2014, : 55 - 58
  • [3] A class of constacyclic codes over a finite field
    Bakshi, Gurmeet K.
    Raka, Madhu
    FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (02) : 362 - 377
  • [4] A class of skew constacyclic codes over ℤ4
    El Hamdaoui, Mohammadi
    Ou-Azzou, Hassan
    Boua, Abdelkarim
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2025,
  • [5] A class of constacyclic codes over ring R + vR
    Lei Huang
    Shixin Zhu
    Journal of Systems Science and Complexity, 2016, 29 : 805 - 813
  • [6] A CLASS OF CONSTACYCLIC CODES
    JENSEN, JM
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (03) : 951 - 954
  • [7] A class of constacyclic codes over finite chain rings
    Zhang, Guanghui
    ARS COMBINATORIA, 2019, 146 : 37 - 50
  • [8] Class of constacyclic codes
    Jensen, Jorn M., 1600, IEEE, Piscataway, NJ, United States (40):
  • [9] Quantum codes from a class of constacyclic codes over finite commutative rings
    Hai Q Dinh
    Bag, Tushar
    Upadhyay, Ashish K.
    Ashraf, Mohammad
    Mohammad, Ghulam
    Chinnakum, Warattaya
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (12)
  • [10] A Class of Constacyclic Codes over Ring R+vR
    HUANG Lei
    ZHU Shixin
    Journal of Systems Science & Complexity, 2016, 29 (03) : 805 - 813
12345