Weight distribution of preparata codes over \(Z_4\) and the construction of 3-designs

DOI10.1007/s11425-014-4771-9zbMath1299.05024OpenAlexW2055431918MaRDI QIDQ477059

Weixia Li, Hao Shen

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4771-9

zbMATH Keywords

weight distribution\(t\)-designspreparata codes over \(Z_4\)

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\)
• New infinite families of 3-designs from Preparata codes over \(\mathbb{Z}_4\)
• Split weight enumerators for the Preparata codes with applications to designs
• Some new 3-designs from \(PSL(2,q)\) with \(q \equiv 1 \pmod 4\)
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• An Assmus-Mattson theorem for Z/sub 4/-codes
• The algebraic decoding of the Z/sub 4/-linear Goethals code
• On the Cusick–Cheon Conjecture About Balanced Boolean Functions in the Cosets of the Binary Reed–Muller Code
• New 5-designs
• On \(t\)-designs from codes over \(\mathbb{Z}_4\)

This page was built for publication: Weight distribution of preparata codes over \(Z_4\) and the construction of 3-designs