New extremal doubly-even [64,32,12] codes
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Publication:1894272
DOI10.1007/BF01398007zbMath0843.94016MaRDI QIDQ1894272
Hiroshi Kimura, Masaaki Harada
Publication date: 24 July 1995
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Combinatorial codes (94B25)
Related Items (5)
On \(s\)-extremal singly even self-dual \([24k+8,12k+4,4k+2\) codes] ⋮ Construction for both self-dual codes and LCD codes ⋮ Construction of extremal type II \(\mathbb{Z}_{2 k}\)-codes ⋮ Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes ⋮ Extremal doubly-even self-dual codes from Hadamard matrices
Cites Work
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- Self-orthogonal designs and extremal doubly even codes
- Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20
- Extremal doubly-even codes of length 64 derived from symmetric designs
- Hadamard matrices of order 28 with automorphism groups of order two
- New extremal doubly-even codes of length 56 derived from Hadamard matrices of order 28
- A complete classification of symmetric (31, 10, 3) designs
- A binary extremal doubly even self-dual code (64,32,12) obtained from an extended Reed-Solomon code over Fl6 (Corresp.)
- An upper bound for self-dual codes
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