Construction of extremal Type II codes over \(\mathbb{Z}_4\).

DOI10.1023/A:1008335912135zbMath1033.94012OpenAlexW29551487MaRDI QIDQ1299900

Masaaki Harada, Philippe Gaborit

Publication date: 18 December 2003

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

Full work available at URL: https://doi.org/10.1023/a:1008335912135

zbMATH Keywords

finite fieldsextremal doubly-even self-dual binary codesextremal Type II codespseudo-random method

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60)

Related Items (5)

Construction of extremal type II \(\mathbb{Z}_{2 k}\)-codes ⋮ On the residue codes of extremal Type II \(\mathbb Z_4\)-codes of lengths 32 and 40 ⋮ On the classification and enumeration of self-dual codes ⋮ Self-orthogonal codes over \(\mathbb{Z}_4\) arising from the chain ring \(\mathbb{Z}_4 [u / \langle u^2 + 1 \rangle \)] ⋮ Optimal self-dual codes over \(\mathbb{Z}_4\)

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