Lam's power residue addition sets

DOI10.1016/j.aam.2010.09.008zbMath1227.05085OpenAlexW2001261066MaRDI QIDQ534183

Kevin Byard, Mark P. van Veen, Ronald J. Evans

Publication date: 17 May 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2010.09.008

zbMATH Keywords

Gauss sumscyclotomic numbersJacobi sumscyclic difference setscross-correlation functionpower residue addition setspower residue difference setsqualified residue difference sets

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Other character sums and Gauss sums (11T24) Cyclotomy (11T22) Power residues, reciprocity (11A15)

Related Items (2)

Nonexistence of twenty-fourth power residue addition sets ⋮ Cyclotomic difference sets in finite fields

Cites Work

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• A generalization of cyclic difference sets. I
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• The cyclotomic numbers of order twelve
• TENTH POWER QUALIFIED RESIDUE DIFFERENCE SETS
• ON QUALIFIED RESIDUE DIFFERENCE SETS
• Bioctic Gauss sums and sixteenth power residue difference sets
• The Cyclotomic Numbers of Order Sixteen
• Nonexistence of twentieth power residue difference sets
• The cyclotomic numbers of order fourteen
• The Cyclotomic Numbers of Order Eighteen with Applications to Difference Sets
• The cyclotomic numbers of order twenty

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