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

DOI10.1006/FFTA.1999.0258zbMath1011.94030OpenAlexW2064973173MaRDI QIDQ1570226

Eric M. Rains

Publication date: 6 January 2002

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1999.0258

zbMATH Keywords

boundsself-dual codesweight enumeratorsHamming weightLee weight\(Z_4\) codesminimum Hamming distances

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65)

Related Items (5)

Note on the residue codes of self-dual \(\mathbb{Z}_4\)-codes having large minimum Lee weights ⋮ Unnamed Item ⋮ On involutions in extremal self-dual codes and the dual distance of semi self-dual codes ⋮ On the classification and enumeration of self-dual codes ⋮ Self-dual codes over chain rings

Cites Work

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• Weight enumerators of self-orthogonal codes
• The shadow theory of modular and unimodular lattices
• Optimal self-dual codes over \(\mathbb{Z}_4\)
• A new upper bound on the minimal distance of self-dual codes
• 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
• An upper bound for self-dual codes

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