Extremal double circulant type II codes over \(\mathbb Z_4\) and construction of 5-(24,10,36) designs.

DOI10.1016/S0012-365X(98)00035-1zbMath1057.94026MaRDI QIDQ1297477

Masaaki Harada, T. Aaron Gulliver

Publication date: 18 December 2003

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

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Other types of codes (94B60)

Related Items (4)

An Assmus-Mattson theorem for codes over commutative association schemes ⋮ \(5\)-SEEDs from the lifted Golay code of length \(24\) over \(\mathbb{Z}_4\) ⋮ 3-colored 5-designs and \(\mathbb{Z}_4\)-codes ⋮ Isodual codes over \(\mathbb{Z}_{2k}\) and isodual lattices

Cites Work

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• Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices
• Selbstduale Codes über dem Ring der ganzen Zahlen modulo 4. (Self-dual codes over the ring of integers modulo 4)
• 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.
• Type II self-dual codes over finite rings and even unimodular lattices
• All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
• New extremal type II codes over \(\mathbb{Z}_4\)
• Modular and \(p\)-adic cyclic codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Type II codes over Z/sub 4/
• All self-dual Z/sub 4/ codes of length 15 or less are known
• Quaternary quadratic residue codes and unimodular lattices
• Mass formulas for self-dual codes over Z/sub 4/ and F/sub q/+uF/sub q/ rings
• Cyclic codes and quadratic residue codes over Z/sub 4/

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