Type IV codes over a non-unital ring

DOI10.1142/S0219498822501420zbMath1495.94097OpenAlexW3003487651MaRDI QIDQ5089433

Widyan Basaffar, Hatoon Shoaib, Alaa Altassan, Patrick Solé, Adel N. Alahmadi, Alexis Bonnecaze

Publication date: 19 July 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501420

zbMATH Keywords

ringscodesadditive codestype IV codes

Mathematics Subject Classification ID

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

Related Items (2)

Minimal and optimal binary codes obtained using \(C_D\)-construction over the non-unital ring \(I\) ⋮ Quasi-Self-Dual Codes over a Non-Unital Ring of Order 4

Cites Work

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• Skew constacyclic codes over Galois rings
• Mass formula for self-dual codes over Z\( _{p^2}\)
• Self-dual codes over the integers modulo 4
• The joint weight enumerator of an LCD code and its dual
• Three-weight codes, triple sum sets, and strongly walk regular graphs
• On the Number of Inequivalent Binary Self-Orthogonal 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
• Quantum error correction via codes over GF(4)
• Type II codes over F/sub 2/+uF/sub 2/
• Mass formulas for self-dual codes over Z/sub 4/ and F/sub q/+uF/sub q/ rings

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