Directed graph representation of half-rate additive codes over \(\text{GF}(4)\)

DOI10.1007/s10623-010-9469-6zbMath1213.94171arXiv0902.3883OpenAlexW2057277076MaRDI QIDQ2430707

Matthew G. Parker, Lars Eirik Danielsen

Publication date: 8 April 2011

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

Full work available at URL: https://arxiv.org/abs/0902.3883

zbMATH Keywords

classificationgraphsquaternary codescirculant codesAdditive codesformally self-dual codes.

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Enumeration in graph theory (05C30)

Related Items

Searching for (near) Optimal Codes ⋮ Additive Toeplitz codes over \(\mathbb{F}_4\) ⋮ Self-dual additive \(\mathbb{F}_4\)-codes of lengths up to 40 represented by circulant graphs ⋮ Classification of real Bott manifolds and acyclic digraphs ⋮ The nonexistence of an additive quaternary \([15, 5, 9\)-code] ⋮ k-autocorrelation and its applications

Uses Software

• Magma
• nauty
• OEIS

Cites Work

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• Broué-Enguehard maps and Atkin-Lehner involutions
• Circulant Based Extremal Additive Self-Dual Codes Over>tex<$hboxGF,(4)$>/tex<
• Projections of Binary Linear Codes onto Larger Fields
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• Short Additive Quaternary Codes