Self-dual codes over \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\)

DOI10.1016/j.jfranklin.2010.10.007zbMath1204.94103OpenAlexW151567740MaRDI QIDQ621938

Suat Karadeniz, Bahattin Yildiz

Publication date: 31 January 2011

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.10.007

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (13)

Euclidean self-dual codes over non-commutative Frobenius rings ⋮ New extremal binary self-dual codes of length 58 as \(R_3\)-lifts from the shortened binary \([8,4,4\) Hamming code] ⋮ New extremal binary self-dual codes of length 66 as extensions of self-dual codes over \(R_k\) ⋮ \((1 + v)\)-constacyclic codes over \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\) ⋮ Type I and Type II codes over the ring 𝔽2 + u𝔽2 + v𝔽2 + uv𝔽2 ⋮ Repeated-root constacyclic codes over \(\mathbb{F}_2 + u \mathbb{F}_2 + v \mathbb{F}_2 + u v \mathbb{F}_2\) ⋮ On codes over Frobenius rings: generating characters, MacWilliams identities and generator matrices ⋮ Self-dual codes over \(\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)\) ⋮ Type I and type II codes over the ring \(\mathbb{F}_2+s \mathbb{F}_2+s^2\mathbb{F}_2\) ⋮ REPEATED-ROOT CONSTACYCLIC CODES OVER F3+uF3+uvF3 ⋮ \((1-uv)\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p+v\mathbb F_p+uv\mathbb F_p\) ⋮ Self-dual codes over ℤ₄ + wℤ₄ ⋮ Self-dual \(R_k\) lifts of binary self-dual codes

Cites Work

• Unnamed Item
• Self-dual codes over commutative Frobenius rings
• Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
• The binary self-dual codes of length up to 32: A revised enumeration
• Binary self-dual codes of length 24
• Shadow bounds for self-dual codes
• Type IV self-dual codes over rings
• Type II codes over F/sub 2/+uF/sub 2/

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