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Paley-like graphs over finite fields from vector spaces

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Publication:2701046
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DOI10.1016/j.ffa.2023.102171OpenAlexW4322618766MaRDI QIDQ2701046

Lucas Reis

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2210.03236


zbMATH Keywords

finite fieldsbilinear formsPaley graphssum-product estimates


Mathematics Subject Classification ID

Extremal set theory (05D05) Finite fields and commutative rings (number-theoretic aspects) (11T99) Quadratic and bilinear forms, inner products (15A63)





Cites Work

  • Sets with many pairs of orthogonal vectors over finite fields
  • Inverse-closed additive subgroups of fields
  • Exponential sum estimates over a subgroup in an arbitrary finite field
  • The Waring's problem over finite fields through generalized Paley graphs
  • On the clique number of Paley graphs of prime power order
  • CLIQUE NUMBERS OF PALEY GRAPHS
  • Paley and the Paley Graphs
  • On the Number of Self-Dual Bases of GF(q m ) Over GF(q)
  • Sets with integral distances in finite fields
  • On the directions determined by Cartesian products and the clique number of generalized Paley graphs
  • Cliques and colorings in generalized Paley graphs and an approach to synchronization




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