On critical perfect systems of difference sets

DOI10.1016/0012-365X(93)E0103-BzbMath0811.05010OpenAlexW2063490256MaRDI QIDQ1343269

Douglas G. Rogers

Publication date: 1 February 1995

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

Full work available at URL: https://doi.org/10.1016/0012-365x(93)e0103-b

zbMATH Keywords

difference setperfect system of difference setsvalencyBKT- inequalityperfect critical system

Mathematics Subject Classification ID

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

Cites Work

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• On the BKT inequality and improved bounds for perfect systems of difference sets
• The minimum number of components in 4-regular perfect systems of difference sets
• Further results on irregular, critical perfect systems of difference sets. I: Split systems
• Further results on irregular, critical perfect systems of difference sets. II: Systems without splits
• Regular perfect systems of difference sets
• Irregular, extremal perfect systems of difference sets. II
• Irregular Extremal Perfect Systems of Difference Sets
• Addition Theorems for Perfect Systems of Difference Sets
• Regular Perfect Systems of Difference Sets of Size 4 and Extremal Systems of Size 3
• CRITICAL PERFECT SYSTEMS OF DIFFERENCE SETS WITH COMPONENTS OF ODD SIZE

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