The existence of a self-dual \([70 ,35 ,12]\) code and formally self-dual codes.

DOI10.1006/ffta.1996.0174zbMath1053.94561OpenAlexW2041664419MaRDI QIDQ1266416

Masaaki Harada

Publication date: 1997

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

Full work available at URL: https://doi.org/10.1006/ffta.1996.0174

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (17)

Extremal quasi-cyclic self-dual codes over finite fields ⋮ A formula on the weight distribution of linear codes with applications to AMDS codes ⋮ Experimental constructions of self-dual codes ⋮ Various constructions for self-dual codes over rings and new binary self-dual codes ⋮ Codes over a ring of order 32 with two Gray maps ⋮ Nonexistence of certain singly even self-dual codes with minimal shadow ⋮ On the existence of certain optimal self-dual codes with lengths between 74 and 116 ⋮ Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes ⋮ Construction of reversible self-dual codes ⋮ CIS codes over ${\mathbb F}_4$ ⋮ Construction of extremal self-dual codes over \(\mathbb F_2+u\mathbb F_2\) with an automorphism of odd order ⋮ Unnamed Item ⋮ On quintic quasi-cyclic codes ⋮ The existence of a formally self-dual even [70, 35,14 code] ⋮ A modified bordered construction for self-dual codes from group rings ⋮ A method for constructing self-dual codes over \(\mathbb {Z}_{2^m}\) ⋮ Self-dual codes over ℤ₄ + wℤ₄

Cites Work

• Unnamed Item
• A restriction on the weight enumerator of a self-dual code
• On designs and formally self-dual codes
• Classification of extremal double-circulant self-dual codes of length up to \(62\)
• A coding theoretic approach to extending designs
• A new upper bound on the minimal distance of self-dual codes
• Weight enumerators of self-dual codes
• Existence of some extremal self-dual codes
• An updated table of minimum-distance bounds for binary linear codes
• New extremal self-dual codes of length 68
• Weight enumerators of extremal singly-even [60,30,12 codes]
• An upper bound for self-dual codes

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