Lee-extremal self-dual codes over \(\mathbb{F}_2 + u \mathbb{F}_2\) of lengths 23 and 24
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Publication:740297
DOI10.1016/j.ffa.2014.03.002zbMath1298.94133OpenAlexW1984261119MaRDI QIDQ740297
Publication date: 2 September 2014
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2014.03.002
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (1)
Cites Work
- Construction of self-dual codes with an automorphism of order \(p\)
- Classification of binary self-dual \([48,24,10\) codes with an automorphism of odd prime order]
- Construction of extremal self-dual codes over \(\mathbb F_2+u\mathbb F_2\) with an automorphism of odd order
- Self-dual codes over \(\mathbb F_2 +u\mathbb F_2\) with an automorphism of odd order
- Type II codes over \(\mathbb F_2+ u\mathbb F_2\) and applications to Hermitian modular forms
- On the decomposition of self-dual codes over \(\mathbb F_2 + u\mathbb F_2\) with an automorphism of odd prime order
- Hermitian self-dual codes over \(\mathbb F_{2^{2m}}+u\mathbb F_{2^{2m}}\)
- A linear construction for certain Kerdock and Preparata codes
- Type IV self-dual codes over rings
- The extended quadratic residue code is the only (48,24,12) self-dual doubly-even code
- Type II codes over F/sub 2/+uF/sub 2/
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