Optimal self-dual codes over \(\mathbb{Z}_4\)

DOI10.1016/S0012-365X(98)00358-6zbMath1097.94525MaRDI QIDQ1301666

Eric M. Rains

Publication date: 13 December 1999

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

zbMATH Keywords

Lee weightsself-dual codesLee-optimal codesminimal Hamming weights

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (12)

Note on the residue codes of self-dual \(\mathbb{Z}_4\)-codes having large minimum Lee weights ⋮ Optimal self-dual \(\mathbb Z_4\)-codes and a unimodular lattice in dimension 41 ⋮ Classification of extremal type II \(\mathbb{Z}_4\)-codes of length 24 ⋮ On the residue codes of extremal Type II \(\mathbb Z_4\)-codes of lengths 32 and 40 ⋮ Residue codes of extremal type II \(\mathbb Z_4\)-codes and the moonshine vertex operator algebra ⋮ On the classification and enumeration of self-dual codes ⋮ Оценки объемов окрестностей двоичных кодов в терминах их весовых спектров ⋮ 3-colored 5-designs and \(\mathbb{Z}_4\)-codes ⋮ Bounds for self-dual codes over \(\mathbb{Z}_4\) ⋮ On the optimal \(\mathbb Z_4\) codes of type II and length 16 ⋮ Shadow codes over \({\mathbb Z}_4\) ⋮ NEW OPTIMAL LINEAR CODES OVER

Cites Work

• Unnamed Item
• Self-dual codes over the integers modulo 4
• Higher power residue codes.
• The shadow theory of modular and unimodular lattices
• Construction of extremal Type II codes over \(\mathbb{Z}_4\).
• All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
• A new upper bound on the minimal distance of self-dual codes
• All self-dual Z/sub 4/ codes of length 15 or less are known
• Decompositions and extremal 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

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