The build-up construction over a commutative non-unital ring

DOI10.1007/S10623-022-01044-0OpenAlexW4285092282WikidataQ114849750 ScholiaQ114849750MaRDI QIDQ2099166

Patrick Solé, Hatoon Shoaib, Alaa Altassan, Amani Alkathiry, Alexis Bonnecaze, Adel N. Alahmadi

Publication date: 23 November 2022

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-022-01044-0

zbMATH Keywords

self-orthogonal codesnon-unital ringstype IV codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (1)

Minimal and optimal binary codes obtained using \(C_D\)-construction over the non-unital ring \(I\)

Cites Work

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• Euclidean self-dual codes over non-commutative Frobenius rings
• Skew constacyclic codes over Galois rings
• Self-dual codes over the integers modulo 4
• Euclidean and Hermitian self-dual MDS codes over large finite fields.
• Quasi type IV codes over a non-unital ring
• CONSTRUCTION OF SELF-DUAL CODES OVER F₂+ uF₂
• On the Number of Inequivalent Binary Self-Orthogonal Codes
• Fundamentals of Error-Correcting Codes
• Classification of Finite Rings of Order p²
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Type IV self-dual codes over rings
• Mass formulas for self-dual codes over Z/sub 4/ and F/sub q/+uF/sub q/ rings
• The build-up construction of quasi self-dual codes over a non-unital ring
• AN EFFICIENT CONSTRUCTION OF SELF-DUAL CODES

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