New infinite families of 3-designs from Preparata codes over \(\mathbb{Z}_4\)

DOI10.1016/S0012-365X(98)00123-XzbMath0936.05008MaRDI QIDQ1296979

Tor Helleseth, Chumming Rong, Kyeongcheol Yang

Publication date: 8 May 2000

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

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (2)

New infinite families of 3-designs from algebraic curves over \(\mathbb F_q\) ⋮ Weight distribution of preparata codes over \(Z_4\) and the construction of 3-designs

Cites Work

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• An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\)
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• On the weight hierarchy of Preparata codes over Z/sub 4/
• An upper bound for Weil exponential sums over Galois rings and applications
• The algebraic decoding of the Z/sub 4/-linear Goethals code
• On the weight hierarchy of Kerdock codes over Z/sub 4/
• New 5-designs

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