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1. The extended coset leader weight enumerator of a twisted cubic code

   Aart Blokhuis, Ruud Pellikaan, Tamás Szőnyi in Designs, Codes and Cryptography

   Article Open access 20 June 2022

2. The complete weight distribution of a subclass of optimal three-weight cyclic codes

   The weight distribution of a code is usually investigated on the basis of Hamming weight, under which all the nonzero components of a codeword are...

   Gerardo Vega, Félix Hernández in Cryptography and Communications

   Article 01 August 2022

3. Complete b-symbol weight distribution of some irreducible cyclic codes

   Recently, b -symbol codes are proposed to protect against b -symbol errors in b -symbol read channels. It is an interesting subject of study to consider...

   Hongwei Zhu, Minjia Shi, Ferruh Özbudak in Designs, Codes and Cryptography

   Article 21 March 2022

4. The b-symbol weight distributions of all semiprimitive irreducible cyclic codes

   Gerardo Vega in Designs, Codes and Cryptography

   Article Open access 01 March 2023

5. Average of complete joint weight enumerators and self-dual codes

   Himadri Shekhar Chakraborty, Tsuyoshi Miezaki in Designs, Codes and Cryptography

   Article 06 April 2021

6. A class of linear codes with their complete weight enumerators over finite fields

   Pavan Kumar, Noor Mohammad Khan in Cryptography and Communications

   Article 10 June 2021

7. Weight hierarchies of a class of three-weight p-ary linear codes from inhomogeneous quadratic functions

   The weight hierarchy of a linear code have been an important research topic in coding theory since Wei’s original work in 1991. In this paper,...

   Shupeng Hu, Fei Li, **umei Li in Applicable Algebra in Engineering, Communication and Computing

   Article 04 February 2024

8. Jacobi polynomials and harmonic weight enumerators of the first-order Reed–Muller codes and the extended Hamming codes

   In the present paper, we give harmonic weight enumerators and Jacobi polynomials for the first-order Reed–Muller codes and the extended Hamming...

   Tsuyoshi Miezaki, Akihiro Munemasa in Designs, Codes and Cryptography

   Article 16 November 2023

9. Symbol-pair weight distribution of some irreducible cyclic codes

   In this paper, we study the symbol-pair weight distribution of some irreducible cyclic codes. We define generalized cyclotomic numbers and provide...

   Youcef Maouche in Cryptography and Communications

   Article 25 July 2022

10. Formal weight enumerators and Chebyshev polynomials

    A formal weight enumerator is a homogeneous polynomial in two variables which behaves like the Hamming weight enumerator of a self-dual linear code...

    Masakazu Yamagishi in Applicable Algebra in Engineering, Communication and Computing

    Article 19 November 2020

11. Weight distributions and weight hierarchies of a family of p-ary linear codes

    The weight distribution and weight hierarchy of a linear code are two important research topics in coding theory. In this paper, by choosing proper...

    Fei Li, **umei Li in Designs, Codes and Cryptography

    Article 29 October 2021

12. A family of projective two-weight linear codes

    Projective two-weight linear codes are closely related to finite projective spaces and strongly regular graphs. In this paper, a family of q -ary...

    Ziling Heng, Dexiang Li, ... Fuling Chen in Designs, Codes and Cryptography

    Article 04 June 2021

13. Binary self-dual codes and Jacobi forms over a totally real subfield of \({\mathbb {Q}}(\zeta _8)\)

    Ankur, P. K. Kewat in Applicable Algebra in Engineering, Communication and Computing

    Article 05 May 2021

14. ℤ2ℤ4-Additive Self-Dual Codes

    Self-duality for binary and quaternary linear codes has been extensively studied, see [125, 132] for a complete description and an extensive...

    Joaquim Borges, Cristina Fernández-Córdoba, ... Mercè Villanueva in Z2Z4-Linear Codes

    Chapter 2022
    

15. Self-dual codes over \({\mathbb {F}}_2[u]/\langle u^4 \rangle \) and Jacobi forms over a totally real subfield of \({\mathbb {Q}}(\zeta _8)\)

    Ankur, Pramod Kumar Kewat in Designs, Codes and Cryptography

    Article 27 March 2021

16. On the cycle index and the weight enumerator

    In this paper, we introduce the concept of the complete cycle index and discuss a relation with the complete weight enumerator in coding theory. This...

    Tsuyoshi Miezaki, Manabu Oura in Designs, Codes and Cryptography

    Article 12 July 2018

17. Complete weight enumerators of two classes of linear codes with a few weights

    Linear codes with a few weights have important applications in secret sharing, authentication codes, data storage system, association schemes, and...

    Minglong Qi, Shengwu **ong in Applicable Algebra in Engineering, Communication and Computing

    Article 29 August 2019

18. The complete hierarchical locality of the punctured Simplex code

    This paper presents a new alphabet-dependent bound for codes with hierarchical locality. Then, the complete list of possible localities is derived...

    Matthias Grezet, Camilla Hollanti in Designs, Codes and Cryptography

    Article Open access 16 October 2020
    

19. MacWilliams type identities on Sharma-Kaushik weights for linear codes over ring Zq

    This work relates to the discipline of Error-Correcting Codes which is an indispensable part of any theory for designing properly functioning...

    Meenakshi Sridhar, Manohar Lal Kaushik in International Journal of Information Technology

    Article 26 July 2023

20. Further projective binary linear codes derived from two-to-one functions and their duals

    Binary linear codes with few weights have wide applications in communication, secret sharing schemes, authentication codes, association schemes,...

    Sihem Mesnager, Liqin Qian, **wang Cao in Designs, Codes and Cryptography

    Article 10 October 2022