New infinite families of 3-designs from algebraic curves over \(\mathbb F_q\)

DOI10.1016/j.ejc.2006.01.009zbMath1121.05014OpenAlexW2152657799MaRDI QIDQ875062

Byeong-Kweon Oh, Hoseog Yu, Jangheon Oh

Publication date: 10 April 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.01.009

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Cites Work

• Sums of Gauss, Jacobi, and Jacobsthal
• An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\)
• Two new infinite families of 3-designs from Kerdock codes over \(\mathbb Z_4\).
• New infinite families of 3-designs from Preparata codes over \(\mathbb{Z}_4\)
• Translations of the squares in a finite field and an infinite family of 3-designs
• Evaluation of Character Sums Connected with Elliptic Curves
• Infinite Families of 3-Designs from Z₄ -Goethals Codes with Block Size 8
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