Distribution of power residues over shifted subfields and maximal cliques in generalized Paley graphs

DOI10.1090/proc/17035MaRDI QIDQ6654026

Chi Hoi Yip, Greg Martin

Publication date: 18 December 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Paley graphcharacter summaximal cliquesubfieldPeisert graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other character sums and Gauss sums (11T24) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

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• Constructions of large arcs and blocking sets in finite planes
• Note on the existence of large minimal blocking sets in Galois planes
• Maximal cliques in the Paley graph of square order
• On eigenfunctions and maximal cliques of Paley graphs of square order
• On subsets of GF\((q^2)\) with \(d\)th power differences
• On a correspondence between maximal cliques in Paley graphs of square order
• On maximal cliques of Cayley graphs over fields
• Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields
• On eigenfunctions and maximal cliques of generalised Paley graphs of square order
• CLIQUE NUMBERS OF PALEY GRAPHS
• Erdős–Ko–Rado Theorems: Algebraic Approaches
• Generators and irreducible polynomials over finite fields
• All self-complementary symmetric graphs
• A lemma on the randomness of \(d\)th powers in \(\text{GF}(q),\;d\mid q-1\)
• Maximality of subfields as cliques in Cayley graphs over finite fields
• Erdős–Ko–Rado theorem in Peisert-type graphs

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