Self-dual codes over \(\mathbb F_2 +u\mathbb F_2\) with an automorphism of odd order

DOI10.1016/j.ffa.2007.07.003zbMath1169.94014OpenAlexW2048141558MaRDI QIDQ1017413

W. Cary Huffman

Publication date: 19 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2007.07.003

zbMATH Keywords

self-dual codesextremal self-dual codescodes with odd order automorphisms

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22)

Related Items (5)

Hermitian self-dual codes over \(\mathbb F_{2^{2m}}+u\mathbb F_{2^{2m}}\) ⋮ Type I and Type II codes over the ring 𝔽2 + u𝔽2 + v𝔽2 + uv𝔽2 ⋮ A MacWilliams type identity on Lee weight for linear codes over \(\mathbb F_2 + u\mathbb F_2^\ast\) ⋮ Construction of extremal self-dual codes over \(\mathbb F_2+u\mathbb F_2\) with an automorphism of odd order ⋮ Lee-extremal self-dual codes over \(\mathbb{F}_2 + u \mathbb{F}_2\) of lengths 23 and 24

Uses Software

• GUAVA

Cites Work

• On the enumeration of self-dual codes
• Type II codes over \(\mathbb F_2+ u\mathbb F_2\) and applications to Hermitian modular forms
• An enumeration of binary self-dual codes of length 32
• On the decomposition of self-dual codes over \(\mathbb F_2 + u\mathbb F_2\) with an automorphism of odd prime order
• A classification of self-orthogonal codes over GF(2)
• A new upper bound on the minimal distance of self-dual codes
• Some restrictions on weight enumerators of singly even self-dual codes
• On the Classification of Extremal $[36,18,8$ Binary Self-Dual Codes]
• Type IV self-dual codes over rings
• Type II codes over F/sub 2/+uF/sub 2/
• On the classification and enumeration of self-dual codes
• On the classification and enumeration of self-dual codes

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