On the residue codes of extremal Type II \(\mathbb Z_4\)-codes of lengths 32 and 40

DOI10.1016/j.disc.2011.06.022zbMath1235.94080arXiv1104.3925OpenAlexW2964112239MaRDI QIDQ641186

Masaaki Harada

Publication date: 21 October 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3925

zbMATH Keywords

binary doubly even codeextremal Type II \(\mathbb Z_{4}\)-coderesidue code

Mathematics Subject Classification ID

Other types of codes (94B60)

Related Items (4)

Construction of extremal self-dual codes over \(\mathbb Z_8\) and \(\mathbb Z_{16}\) ⋮ Classification of extremal type II \(\mathbb{Z}_4\)-codes of length 24 ⋮ Extremal type II \(\mathbb{Z}_4\)-codes constructed from binary doubly even self-dual codes of length 40 ⋮ New extremal Type II ℤ4-codes of length 32 obtained from Hadamard matrices

Uses Software

• Magma
• Code Tables

Cites Work

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• Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices
• The binary self-dual codes of length up to 32: A revised enumeration
• Self-dual codes over the integers modulo 4
• Cyclic self-dual \(\mathbb Z_4\)-codes.
• Construction of extremal Type II codes over \(\mathbb{Z}_4\).
• Optimal self-dual codes over \(\mathbb{Z}_4\)
• All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
• New extremal type II codes over \(\mathbb{Z}_4\)
• On some self-dual codes and unimodular lattices in dimension 48
• Extremal type II \(\mathbb Z_4\)-codes of lengths 56 and 64
• Type II codes over Z/sub 4/
• Mass formulas for self-dual codes over Z/sub 4/ and F/sub q/+uF/sub q/ rings
• Mass formula for self-orthogonal codes over Z_{p^2}
• On the classification and enumeration of self-dual codes

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