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More nonexistence results for symmetric pair coverings

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Publication:890552
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DOI10.1016/j.laa.2015.09.006zbMath1325.05050arXiv1505.05949OpenAlexW2153433709MaRDI QIDQ890552

Daniel Horsley, Nevena Francetić, Sarada Herke

Publication date: 10 November 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05949


zbMATH Keywords

excessalmost difference setBruck-Ryser-Chowla theoremHasse-Minkowski invariantpair coveringrationally congruent matrices


Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Combinatorial aspects of packing and covering (05B40)




Cites Work

  • Generalising Fisher's inequality to coverings and packings
  • A note on a three-term recurrence for a tridiagonal matrix.
  • On the non-existence of pair covering designs with at least as many points as blocks
  • Number Theory
  • Combinatorial Problems
  • The Nonexistence of Certain Finite Projective Planes
  • Combinatorial Properties of Group Divisible Incomplete Block Designs
  • The arithmetical invariants of quadratic forms
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