New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction-Reference-Cited by-同舟云学术

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New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction

Published:2021-10 Issue: Volume:75 Page:101876
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Gildea Joe,Korban Adrian,Roberts Adam M.^ORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference30 articles.

1. On self-dual codes over some prime fields;Betsumiya;Discrete Math.,2003

2. Constructions of extremal and optimal self-dual and Hermitian self-dual codes over finite fields using circulant matrices;Roberts,2020

3. Algebraic Coding Theory Over Finite Commutative Rings;Dougherty,2017

4. An upper bound for self-dual codes;Mallows;Inf. Control,1973

5. Shadow bounds for self-dual codes;Rains;IEEE Trans. Inf. Theory,1998

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A New Method for Constructing Self-Dual Codes over Finite Commutative Rings with Characteristic 2;Mathematics;2024-08-31

2. The weight enumerators of singly-even self-dual [88,44,14] codes and new binary self-dual [68,34,12] and [88,44,14] codes;Finite Fields and Their Applications;2024-01

3. Extremal binary self-dual codes from a bordered four circulant construction;Discrete Mathematics;2023-08

4. Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions;Applicable Algebra in Engineering, Communication and Computing;2022-12-22

5. Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours;Advances in Mathematics of Communications;2022

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