Some new constructions of MDS self-dual codes over finite fields

DOI10.1016/j.ffa.2021.101934zbMath1501.94090OpenAlexW3206988893MaRDI QIDQ2667077

Yanyan Li

Publication date: 23 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2021.101934

zbMATH Keywords

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

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (1)

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

Cites Work

• New MDS self-dual codes over finite fields
• 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
• On the Classification of MDS Codes
• Lowest density MDS codes over extension alphabets
• On Codes, Matroids, and Secure Multiparty Computation From Linear Secret-Sharing Schemes
• New MDS or Near-MDS Self-Dual 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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