Two new zero-dimensional qubit codes from bordered metacirculant construction

DOI10.1016/j.disc.2021.112491zbMath1473.51010arXiv2105.13021OpenAlexW3174439901MaRDI QIDQ2037568

Padmapani Seneviratne, Martianus Frederic Ezerman

Publication date: 8 July 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13021

zbMATH Keywords

self-dual codesadditive codesquantum codesmetacirculant graphgraph codes

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Linear codes and caps in Galois spaces (51E22)

Uses Software

• Magma
• Code Tables

Cites Work

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• New self-dual additive \(\mathbb{F}_4\)-codes constructed from circulant graphs
• On the classification of all self-dual additive codes over \(\text{GF}(4)\) of length up to 12
• The Magma algebra system. I: The user language
• Self-dual additive \(\mathbb{F}_4\)-codes of lengths up to 40 represented by circulant graphs
• Circulant Based Extremal Additive Self-Dual Codes Over>tex<$hboxGF,(4)$>/tex<
• A Construction for Vertex-Transitive Graphs
• The intractability of computing the minimum distance of a code
• Quantum error correction via codes over GF(4)

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