A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs

DOI10.1016/j.ffa.2023.102277zbMath1526.05017MaRDI QIDQ6063233

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Publication date: 7 November 2023

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

zbMATH Keywords

block designschoolgirl problemaffine plane of order 4additive design\(\operatorname{AG}_2 (4, 2)\)quasidoublestrongly additive design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of finite geometries (05B25) General block designs in finite geometry (51E05)

Related Items (4)

Subset sums and block designs in a finite vector space ⋮ On the seven non-isomorphic solutions of the fifteen schoolgirl problem ⋮ Super-regular Steiner 2-designs ⋮ A new family of additive designs

Cites Work

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• On the seven non-isomorphic solutions of the fifteen schoolgirl problem
• EXISTENCE OF -ANALOGS OF STEINER SYSTEMS
• Kirkman's Tetrahedron and the Fifteen Schoolgirl Problem
• A new family of additive designs
• Subset sums and block designs in a finite vector space

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