Infinite Families of 3-Designs from Z4 -Goethals Codes with Block Size 8

DOI10.1137/S0895480101385882zbMath1007.05020MaRDI QIDQ4785685

Kalle Ranto

Publication date: 5 January 2003

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

zbMATH Keywords

\(t\)-designKloosterman sumquaternary codeGoethals code

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Exponential sums (11T23)

Related Items (3)

New infinite families of 3-designs from algebraic curves over \(\mathbb F_q\) ⋮ On a new identity for Kloosterman sums and nonlinear system of equations over finite fields of characteristic 2. ⋮ 3-designs from all \(\mathbb Z_{4}\)-Goethals-like codes with block size 7 and 8

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