Constructions of \((q,k,1)\) difference families with \(q\) a prime power and \(k=4,5\)

DOI10.1016/0012-365X(94)00198-RzbMath0818.05011MaRDI QIDQ1842157

Marco Buratti

Publication date: 6 August 1995

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

zbMATH Keywords

difference families

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite fields and commutative rings (number-theoretic aspects) (11T99)

Related Items (18)

Existence of (q, 7, 1) difference families with q a prime power ⋮ On cyclic \(2(k-1)\)-support \((n,k)_{k-1}\) difference families ⋮ The existence of cyclic \((v, 4, 1)\)-designs ⋮ Design and analysis of periodic multiple seeds ⋮ Constructions for optimal \((u\times v,\{3,4\},1,Q)\)-OOSPCs ⋮ Constructions of balanced \((N, M, \{4, 5\}, 1; 2)\) multilength variable-weight optical orthogonal codes ⋮ Bounds and constructions for multilength variable-weight optical orthogonal codes ⋮ Further results on optimal optical orthogonal codes with weight 4. ⋮ THE EXISTENCE OF CYCLIC {\rm BIBD}(v,4,\lambda)- A SURVEY AND NEW RESULTS ⋮ Combinatorial constructions for optimal multiple-weight optical orthogonal signature pattern codes ⋮ The existence of \((v,4,1)\) disjoint difference families with \(v\) a prime power ⋮ Some 20-regular CDP(5,1;20\(u\)) and their applications ⋮ Some series of optimal multilength OOCs of weight four ⋮ Existence of simple BIBDs from a prime power difference family with minimum index ⋮ Some progress on \((v,4,1)\) difference families and optical orthogonal codes ⋮ Applications of additive sequence of permutations ⋮ Some combinatorial constructions for optical orthogonal codes ⋮ Compatible difference packing set systems and their applications to multilength variable-weight OOCs

Cites Work

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• Product constructions for cyclic block designs. II. Steiner 2-designs
• Difference families from rings
• Cyclotomy and difference families in elementary Abelian groups
• On Cyclic Steiner 2-Designs
• Cyclotomy, Higher Congruences, and Waring's Problem
• Improving two theorems of bose on difference families
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS

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