New extremal Type II ℤ4-codes of length 32 obtained from Hadamard matrices

DOI10.1142/S1793830919500575zbMath1472.94071OpenAlexW2969722874MaRDI QIDQ5242831

Sanja Rukavina, Sara Ban, Dean Crnković, Matteo Mravić

Publication date: 7 November 2019

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830919500575

zbMATH Keywords

Hadamard matrix\(\mathbb Z_4\)-codeextremal Type II \(\mathbb Z_4\)-code

Mathematics Subject Classification ID

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

Cites Work

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• All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• Fundamentals of Error-Correcting Codes
• Some symmetric (47,23,11) designs