Existence question for difference families and construction of some new families

DOI10.1002/JCD.20006zbMath1045.05022OpenAlexW2008014647MaRDI QIDQ4739591

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Publication date: 6 August 2004

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.20006

zbMATH Keywords

genetic algorithmscyclotomic numbersdifference families

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (4)

Bi-Cayley normal uniform multiplicative designs ⋮ Cyclic \((v;r,s;\lambda)\) difference families with two base blocks and \(v \leq 50\) ⋮ Compression of periodic complementary sequences and applications ⋮ New results on modular Golomb rulers, optical orthogonal codes and related structures

Cites Work

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• Forty-three balanced incomplete block designs
• Ring-valued assignments to the points of a \(t\)-design
• Cyclotomy and difference families in elementary Abelian groups
• A Family of Difference Sets
• Nonexistence of certain supplementary difference sets
• Constructing difference families through an optimization approach: Six new BIBDs
• Cyclotomy, Higher Congruences, and Waring's Problem
• On Determinants with Elements ±1, II
• Difference Sets in a Finite Group
• A family of difference sets

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