Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes

DOI10.1007/s10623-022-01172-7OpenAlexW4316663633MaRDI QIDQ2701492

Masaaki Harada, Makoto Araya

Publication date: 28 April 2023

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.01080

zbMATH Keywords

weight enumerator\(t\)-designself-dual codenear-extremal quaternary Hermitian self-dual codenear-extremal ternary self-dual code

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05)

Related Items (2)

Hadamard matrices of order 36 formed by codewords in some ternary self-dual codes ⋮ Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31

Uses Software

• Magma
• Mathematica

Cites Work

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• Hadamard Matrices
• Classification of Quaternary Hermitian Self-Dual Codes of Length 20
• New 5-designs
• Generalizations of Gleason's theorem on weight enumerators of self-dual codes
• An upper bound for self-dual codes

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