Supplementary difference sets and Jacobi sums

DOI10.1016/0012-365X(92)90041-DzbMath0776.05021MaRDI QIDQ1196752

Mieko Yamada

Publication date: 16 January 1993

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

power residuesJacobi sumsupplementary difference setscyclotomic classes

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Transcendental field extensions (12F20)

Related Items (8)

On Jacobi sums, difference sets and partial difference sets in Galois domains ⋮ A new family of supplementary difference sets and Hadamard matrices ⋮ New necessary conditions for the existence of finite non-Desarguesian flag-transitive projective planes ⋮ Strong difference families, difference covers, and their applications for relative difference families ⋮ New constructions of Hadamard matrices ⋮ Structured Hadamard Conjecture ⋮ Perfect difference systems of sets and Jacobi sums ⋮ Values of minors of some infinite families of matrices constructed from supplementary difference sets and their application to the growth problem

Cites Work

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• On supplementary difference sets
• An infinite family of Hadamard matrices of Williamson type
• Nonexistence of certain supplementary difference sets
• A family of supplementary difference sets
• On Jacobi sums and difference sets
• Two addition theorems
• Some classes of Hadamard matrices with constant diagonal

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