A decomposition of the 2-design formed by the planes in \(AG(2n, 3)\)

DOI10.1016/j.ffa.2012.04.001zbMath1251.05019OpenAlexW1230173718MaRDI QIDQ714460

Miwako Mishima, Masakazu Jimbo, Koji Momihara

Publication date: 11 October 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.04.001

zbMATH Keywords

affine geometryJacobi sumline spreaddecomposition of a 2-design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite affine and projective planes (geometric aspects) (51E15) Exponential sums (11T23)

Related Items

Partitions of the lines in \(\mathrm{PG}( 2 n - 1, s)\) into multifold spreads for \(s = 3, 4\)

Cites Work

• Constructions for anonymous secret sharing schemes using combinatorial designs
• Partitioning the planes of \(AG_{2m}(2)\) into 2-designs
• The cyclic parallelism of PG(3,5)
• Flag-transitive 2-designs arising from line-spreads in PG\((2n-1,2)\)
• Anonymous secret sharing schemes
• A new class of designs which protect against quantum jumps
• On parallelisms in finite projective spaces
• Resolutions of PG(5, 2) with point-cyclic automorphism group
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