On Pless symmetry codes, ternary QR codes, and related Hadamard matrices and designs

DOI10.1007/s10623-021-00941-0zbMath1506.94096arXiv2109.05514OpenAlexW3212925578MaRDI QIDQ2109393

Vladimir D. Tonchev

Publication date: 21 December 2022

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

Full work available at URL: https://arxiv.org/abs/2109.05514

zbMATH Keywords

Hadamard matrixHadamard 2-designPaley-Hadamard matrixHadamard 3-designpless symmetry code

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05)

Related Items (4)

Hadamard matrices of order 36 formed by codewords in some ternary self-dual codes ⋮ Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2 ⋮ Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31 ⋮ Hadamard matrices related to a certain series of ternary self-dual codes

Uses Software

• Magma
• Cliquer

Cites Work

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• On a new family of symmetry codes and related new five-designs
• Automorphism groups of Hadamard matrices
• An upper bound for self-dual codes

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