On the optimal \(\mathbb Z_4\) codes of type II and length 16

DOI10.1006/jcta.1999.3043zbMath1087.94029OpenAlexW1985178540MaRDI QIDQ1586130

Iwan M. Duursma, Stefan E. Schmidt, Marcus Greferath

Publication date: 2000

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1999.3043

Mathematics Subject Classification ID

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

Related Items (3)

The linear programming bound for codes over finite Frobenius rings ⋮ Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes ⋮ On coloured constant composition designs

Cites Work

• Self-dual codes over the integers modulo 4
• Optimal self-dual codes over \(\mathbb{Z}_4\)
• All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
• All self-dual Z/sub 4/ codes of length 15 or less are known
• Preparata codes through lattices
• Quaternary quadratic residue codes and unimodular lattices

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