New extremal singly even self-dual codes of lengths $64$ and $66$
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Publication:5241176
zbMath1423.94137arXiv1708.05950MaRDI QIDQ5241176
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Publication date: 30 October 2019
Full work available at URL: https://arxiv.org/abs/1708.05950
Related Items (10)
New self-dual codes from \(2 \times 2\) block circulant matrices, group rings and neighbours of neighbours ⋮ New binary self-dual codes of lengths \(56, 58, 64, 80\) and \(92\) from a modification of the four circulant construction ⋮ New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices ⋮ Constructions for self-dual codes induced from group rings ⋮ New extremal binary self-dual codes of length 68 from generalized neighbors ⋮ New extremal binary self-dual codes from a Baumert-Hall array ⋮ On the self-dual codes with an automorphism of order 5 ⋮ New binary self-dual codes via a generalization of the four circulant construction ⋮ Modified quadratic residue constructions and new extremal binary self-dual codes of lengths 64, 66 and 68 ⋮ On the existence of s-extremal singly even self-dual codes
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Cites Work
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- New extremal binary self-dual codes of length 66 as extensions of self-dual codes over \(R_k\)
- New extremal binary self-dual codes from \(\mathbb{F}_4 + u \mathbb{F}_4\)-lifts of quadratic circulant codes over \(\mathbb{F}_4\)
- New extremal binary self-dual codes from a modified four circulant construction
- The Magma algebra system. I: The user language
- New cubic self-dual codes of length \(54, 60\) and \(66\)
- Self-dual codes with an automorphism of order 7 and \(s\)-extremal codes of length 68
- New extremal binary self-dual codes of lengths 64 and 66 from \(R_{2}\)-lifts
- Extremal self-dual codes of length 64 through neighbors and covering radii
- Self-dual \([62, 31, 12\) and \([64, 32, 12]\) codes with an automorphism of order 7]
- Self-Dual Codes With an Automorphism of Order 11
- A new upper bound on the minimal distance of self-dual codes
- Weight enumerators of self-dual codes
- Existence of certain extremal self-dual codes
- Extremal binary self-dual codes
- Shadow bounds for self-dual codes
- Extremal self-dual codes of lengths 66 and 68
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