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Nonexistence of nontrivial tight 8-designs

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Publication:1745386
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DOI10.1007/s10801-017-0776-0zbMath1384.05060OpenAlexW2728603849MaRDI QIDQ1745386

Ziqing Xiang

Publication date: 17 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10801-017-0776-0


zbMATH Keywords

intersection numberproduct of consecutive integerstight design


Mathematics Subject Classification ID

Other designs, configurations (05B30)


Related Items (3)

Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials ⋮ On tight 4-designs in Hamming association schemes ⋮ Classification of spherical 2-distance \(\{4,2,1\}\)-designs by solving Diophantine equations



Cites Work

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  • Nonexistence results for tight block designs
  • A Diophantine equation arising from tight 4-designs
  • On t-designs
  • On tight 6-designs
  • Determination of Bounds for the Solutions to those Binary Diophantine Equations that Satisfy the Hypotheses of Runge's Theorem
  • A quantitative version of Runge's theorem on diophantine equations
  • ON TIGHT DESIGNS


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