On the \(l\)-extendability of quaternary linear codes

DOI10.1016/j.ffa.2015.04.004zbMath1322.51005OpenAlexW262912690MaRDI QIDQ492004

Yong-Cai Geng, Sumit K. Garg

Publication date: 19 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.04.004

zbMATH Keywords

linear codeextensionfinite projective spacesodd sets

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial structures in finite projective spaces (51E20)

Related Items (2)

On the 3-extendability of quaternary linear codes ⋮ On the extendability of quaternary linear codes with four weights modulo 16

Cites Work

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• Classification of the odd sets in \(\mathrm{PG}(4,4)\) and its application to coding theory
• Extension theorems for linear codes over finite fields
• A characterization of some odd sets in projective spaces of order 4 and the extendability of quaternary linear codes
• New sufficient conditions for the extendability of quaternary linear codes
• Extendability of quaternary linear codes
• Extendability of ternary linear codes
• Extendability of linear codes over \(\operatorname {GF}(q)\) with minimum distance \(d\), \(\operatorname {gcd}(d,q)=1\)
• An extension theorem for linear codes
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
• On the extendability of linear codes

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