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1. Skew Constacyclic Codes over \(F_q+vF_q\)

   In this paper, we study v-skew constacyclic codes over the ring...

   Ghulam Mohammad, Naim Khan, Almas Khan in Algebra and Related Topics with Applications

   Conference paper 2022
   

2. Constacyclic and Skew Constacyclic Codes Over a Finite Commutative Non-chain Ring

   For anPrakash, Om Islam, Habibul Verma, Ram Krishna odd prime p, this article studies the...

   Om Prakash, Habibul Islam, Ram Krishna Verma in Non-commutative and Non-associative Algebra and Analysis Structures

   Conference paper 2023
   

3. Double skew cyclic codes over \(\mathbb {F}_q\)

   Ismail Aydogdu, Roghayeh Mohammadi Hesari, Karim Samei in Computational and Applied Mathematics

   Article 02 April 2022

4. \({\mathbb {F}}_qR\)-Linear skew cyclic codes

   Juan Li, Jian Gao, Fang-Wei Fu in Journal of Applied Mathematics and Computing

   Article 07 July 2021

5. Additive conjucyclic codes over a class of Galois rings

   As a tool towards quantum error correction, additive conjucyclic codes have gained great attention. But, their algebraic structure is completely...

   Habibul Islam, Dipak Kumar Bhunia in Journal of Applied Mathematics and Computing

   Article Open access 21 December 2023

6. On the Skew Cyclic Codes and the Reversibility Problem for DNA 4-Bases

   Yasemin Cengellenmis, Abdullah Dertli in Mathematics in Computer Science

   Article 18 December 2019

7. \(\pmb {{\mathbb {F}}}_q\)-Linear skew cyclic codes over \(\pmb {{\mathbb {F}}}_{q^2}\) and their applications of quantum codes construction

   Yun Gao, Jian Gao, ... Fang-Wei Fu in Journal of Applied Mathematics and Computing

   Article 29 March 2021

8. Linear complementary pairs of codes over a finite non-commutative Frobenius ring

   In this paper, we study linear complementary pairs (LCP) of codes over finite non-commutative local rings. We further provide a necessary and...

   Sanjit Bhowmick, **usheng Liu in Journal of Applied Mathematics and Computing

   Article 24 June 2024

9. Structure of \({\mathbb {F}}_q{\mathcal {R}}\)-linear \((\varTheta ,\varDelta _\varTheta )\)-cyclic codes

   Shikha Patel, Ashutosh Singh, Om Prakash in Computational and Applied Mathematics

   Article 02 April 2024

10. Group codes over crystallographic point groups

    Yanyan Gao, **aomeng Zhu in Computational and Applied Mathematics

    Article 11 July 2024
    

11. On \({\mathbb {Z}}_{2}{\mathbb {Z}}_{4}[\xi ]\)-skew cyclic codes

    Fatmanur Gursoy, Ismail Aydogdu in Journal of Applied Mathematics and Computing

    Article 28 June 2021

12. On reversible codes over a non-chain ring

    Mohammad Ashraf, Washiqur Rehman, ... Mohd Asim in Computational and Applied Mathematics

    Article 02 August 2023

13. Some skew constacyclic codes over \(\mathbb {F}_{q}+u\mathbb {F}_{q}\)

    In this paper, we give conditions on the existence of Euclidean self-dual skew cyclic and skew negacyclic codes over the finite chain ring ...

    Z. Hebbache, K. Guenda, ... T. A. Gulliver in Computational and Applied Mathematics

    Article 19 February 2021
    

14. Steane enlargement of entanglement-assisted quantum error-correcting codes

    We introduce a Steane-like enlargement procedure for entanglement-assisted quantum error-correcting codes (EAQECCs) obtained by considering Euclidean...

    Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto in Computational and Applied Mathematics

    Article Open access 07 August 2023

15. LCD Codes and Self-orthogonal Codes in Finite Dihedral Group Algebras

    Yanyan Gao, Qin Yue, Yansheng Wu in Chinese Annals of Mathematics, Series B

    Article 22 September 2021

16. Algebra and Error-Correcting Codes

    Algebraic structures, such as groups, rings, fields, and ideals, play an important role in different parts of the present book and are discussed in...

    Daniel Alpay in Exercises in Applied Mathematics

    Chapter 2024
    

17. The Norm of a Skew Polynomial

    Let D be a finite-dimensional division algebra over its center and R = D [ t ; σ , δ ] a skew polynomial ring. Under certain assumptions on δ and σ , the...

    S. Pumplün, D. Thompson in Algebras and Representation Theory

    Article Open access 15 June 2021

18. A family of constacyclic codes over a class of non-chain rings \({\mathcal {A}}_{q,r}\) and new quantum codes

    Habibul Islam, Shikha Patel, ... Patrick Solé in Journal of Applied Mathematics and Computing

    Article 12 September 2021

19. New \({\mathbb {Z}}_4\) codes from constacyclic codes over a non-chain ring

    Habibul Islam, Om Prakash in Computational and Applied Mathematics

    Article 05 January 2021

20. A class of constacyclic codes and skew constacyclic codes over \(\pmb {\mathbb {Z}}_{2^s}+u\pmb {\mathbb {Z}}_{2^s}\) and their gray images

    Raj Kumar, Maheshanand Bhaintwal in Journal of Applied Mathematics and Computing

    Article 28 August 2020