Search

Search Results

Showing 1-20 of 189 results
  1. Article
    Full access

    Linear complementary pairs of skew constacyclic codes

    Linear complementary pairs (LCPs) of codes have been studied since they were introduced in the context of discussing mitigation measures against...

    F. J. Lobillo, José Manuel Muñoz in Designs, Codes and Cryptography
    31 January 2025 Open access
  2. Article

    Derivative descendants of cyclic codes and constacyclic codes

    Cyclic codes, as a special type of constacyclic codes, have been extensively studied due to their favorable theoretical and mathematical properties....

    Li Xu, Cuiling Fan, ... Zhengchun Zhou in Designs, Codes and Cryptography
    04 December 2024
  3. Article

    Equivalence of constacyclic codes with shift constants of different orders

    Reza Dastbasteh, Farzad Padashnick, ... Javad Sharafi in Designs, Codes and Cryptography
    18 October 2024
  4. Article

    A generalization of cyclic code equivalence algorithm to constacyclic codes

    Recently, a new algorithm to test equivalence of two cyclic codes has been introduced which is efficient and produced useful results. In this work,...

    Dev Akre, Nuh Aydin, ... Saurav Pandey in Designs, Codes and Cryptography
    10 October 2022
  5. Article

    A class of constacyclic codes are generalized Reed–Solomon codes

    Maximum distance separable (MDS) codes are optimal in the sense that the minimum distance cannot be improved for a given length and code size. The...

    Hongwei Liu, Shengwei Liu in Designs, Codes and Cryptography
    04 September 2023
  6. Article

    Some constacyclic BCH codes with good parameters

    BCH codes as a subclass of constacyclic BCH codes have been widely studied, while the results on the parameters of BCH codes over finite fields are...

    Jin Li, Huilian Zhu, Shan Huang in Designs, Codes and Cryptography
    02 July 2024
  7. Article

    Two classes of q-ary constacyclic BCH codes

    Constacyclic BCH codes are an interesting subclass of constacyclic codes because of their important theoretical and practical value. The purpose of...

    Jiayuan Zhang, Xiaoshan Kai, Ping Li in Cryptography and Communications
    27 August 2024
  8. Article

    Linear complementary pairs of constacyclic n-D codes over a finite commutative ring

    In this paper, a necessary condition which is sufficient as well for a pair of constacyclic 2-D codes over a finite commutative ring R to be an LCP...

    Ridhima Thakral, Sucheta Dutt, Ranjeet Sehmi in Applicable Algebra in Engineering, Communication and Computing
    19 January 2024
  9. Conference paper

    Two Classes of Constacyclic Codes with Variable Parameters

    Constacyclic codes over finite fields are a family of linear codes and contain cyclic codes as a subclass. Constacyclic codes are closely related to...
    Cunsheng Ding, Zhonghua Sun, Xiaoqiang Wang in Arithmetic of Finite Fields
    2023
  10. Article

    On isometry and equivalence of constacyclic codes over finite chain rings

    In this paper we generalize the notions of n -isometry and n -equivalence introduced by Chen et al. to classify constacyclic codes of length ...

    Abdelghaffar Chibloun, Hassan Ou-azzou, Mustapha Najmeddine in Cryptography and Communications
    25 November 2024
  11. Article

    Several families of irreducible constacyclic and cyclic codes

    In this paper, several families of irreducible constacyclic codes over finite fields and their duals are studied. The weight distributions of these...

    Zhonghua Sun, Xiaoqiang Wang, Cunsheng Ding in Designs, Codes and Cryptography
    16 May 2023
  12. Article

    MDS constacyclic codes of length q + 1 over GF(q)

    MDS constacyclic codes over finite fields are important in both theory and practice. In this paper, all [ q + 1,2, q ] and [ q + 1,3, q − 1] MDS λ -constacy...

    Xiaoqiang Wang, Cunsheng Ding, ... Dabin Zheng in Cryptography and Communications
    13 January 2023
  13. Article

    Two classes of ternary LCD constacyclic BCH codes

    Linear codes with complementary duals (LCD codes) have attracted a lot of interest in recent years because of their applications in implementations...

    Yajing Zhou, Xiaoshan Kai, Shixin Zhu in Cryptography and Communications
    01 July 2023
  14. Article

    Galois hulls of constacyclic codes over finite fields

    This paper presents a formula for the dimension of Galois hulls of constacyclic codes. For this, we have arranged the irreducible factors of x n λ ...

    Indibar Debnath, Om Prakash, Habibul Islam in Cryptography and Communications
    23 June 2022
  15. Article

    Some self-dual codes and isodual codes constructed by matrix product codes

    In 2020, Cao et al. proved that any repeated-root constacyclic code is monomially equivalent to a matrix product code of simple-root constacyclic...

    Xu Pan, Hao Chen, Hongwei Liu in Designs, Codes and Cryptography
    04 July 2024
Did you find what you were looking for? Share feedback.