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  1. Color Codes

    As seen in previous chapters, in 1996 a new class of codes, now known as CSS codes, was proposed by Robert Calderbank, Peter Shor, and Andrew Steane....
    Clarice Dias de Albuquerque, Eduardo Brandani da Silva, Waldir Silva Soares Jr. in Quantum Codes for Topological Quantum Computation
    Chapter 2022

  2. Hyperbolic quantum color codes with normal subgroup structure derived from the Reidemeister–Schreier method

    Given the importance of hyperbolic quantum color codes and Euclidean quantum color codes, this paper considers the study of the former codes on...

    Clarice Dias Albuquerque, Henrique Lazari, ... Daniel Silva Campos in Computational and Applied Mathematics
    Article 20 April 2024

  3. The Interplay Between Color Codes and Toric Codes

    In each of the two previous chapters, we dealt with mathematical structures and properties related to topological toric codes and topological color...
    Clarice Dias de Albuquerque, Eduardo Brandani da Silva, Waldir Silva Soares Jr. in Quantum Codes for Topological Quantum Computation
    Chapter 2022

  8. Constacyclic locally recoverable codes from their duals

    A code has locality r if a symbol in any coordinate of a codeword in the code can be recovered by accessing the value of at most r other coordinates....

    Rabia Zengin, Mehmet Emin Köroǧlu in Computational and Applied Mathematics
    Article Open access 18 April 2024

  10. A Testing Set for Preparata-Like Codes

    Abstract

    The reconstruction of an object of a given class by its intersection with some (so-called testing) set is studied. For the class, we...

    A. Yu. Vasil’eva in Journal of Applied and Industrial Mathematics
    Article 01 June 2023

  12. 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

  13. Parameters of two classes of negacyclic BCH codes

    Negacyclic BCH codes are a generalization of BCH codes, they have better parameters than BCH codes in some cases. In this paper, we investigate...

    Huilian Zhu, ** Li, Shixin Zhu in Journal of Applied Mathematics and Computing
    Article 20 November 2023

  14. 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

  17. Quantum codes from trace codes

    Pavan Kumar, Noor Mohammad Khan in Journal of Applied Mathematics and Computing
    Article 23 October 2022

  19. Quantum Codes for Topological Quantum Computation

    This book offers a structured algebraic and geometric approach to the classification and construction of quantum codes for topological quantum...
    Clarice Dias de Albuquerque, Eduardo Brandani da Silva, Waldir Silva Soares Jr. in SpringerBriefs in Mathematics
    Book 2022

  20. Construction methods for Galois LCD codes over finite fields

    In this article, first we present a method for constructing many Hermitian LCD codes from a given Hermitian LCD code, and then provide several...

    Gyanendra K. Verma, Astha Agrawal, R. K. Sharma in Journal of Applied Mathematics and Computing
    Article 15 September 2023
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