New MDS self-dual codes from GRS codes and extended GRS codes

DOI10.1016/j.ffa.2023.102222zbMath1529.94053OpenAlexW4366994596MaRDI QIDQ6156929

Ruhao Wan, Jin Li, Shixin Zhu

Publication date: 19 June 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2023.102222

zbMATH Keywords

self-dual codeMDS codegeneralized Reed-Solomon codeextended generalized Reed-Solomon code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Cites Work

• Euclidean and Hermitian self-dual MDS codes over large finite fields.
• A note on the constructions of MDS self-dual codes
• MDS self-dual codes over large prime fields
• New MDS self-dual codes over finite fields of odd characteristic
• Construction of MDS self-dual codes over finite fields
• Construction of long MDS self-dual codes from short codes
• Some new constructions of MDS self-dual codes over finite fields
• New constructions of self-dual generalized Reed-Solomon codes
• On Codes, Matroids, and Secure Multiparty Computation From Linear Secret-Sharing Schemes
• New MDS or Near-MDS Self-Dual Codes
• Construction of MDS Euclidean Self-Dual Codes via Two Subsets
• A Unified Approach to Construct MDS Self-Dual Codes via Reed-Solomon Codes
• New MDS Euclidean Self-Orthogonal Codes
• New Constructions of MDS Euclidean Self-Dual Codes From GRS Codes and Extended GRS Codes
• New MDS Self-Dual Codes From Generalized Reed—Solomon Codes

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