Perfect cyclic designs

DOI10.1016/0012-365X(77)90043-7zbMath0369.05015MaRDI QIDQ1243724

N. S. Mendelsohn

Publication date: 1978

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

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (28)

On the existence of perfect Mendelsohn designs with \(k=7\) and \(\lambda{}\) even ⋮ The existence of \(( \nu,6, \lambda\) )-perfect Mendelsohn designs with \(\lambda > 1\) ⋮ Combinatorial characterizations of one-coincidence frequency-hopping sequences ⋮ Recursive construction of a class of cyclic difference families ⋮ On the existence of pure \((v, 4, 3)\)-PMD ⋮ RESOLVABLE MENDELSOHN DESIGNS AND FINITE FROBENIUS GROUPS ⋮ Resolvable perfect cyclic designs ⋮ Quasigroups constructed from perfect Mendelsohn designs with block size 4 ⋮ The spectrum for 2-perfect 6-cycle systems ⋮ Existence of perfect Mendelsohn designs with \(k=5\) and \(\lambda{}>1\) ⋮ Constructions of perfect Mendelsohn designs ⋮ Special issue: 2nd Shanghai conference on designs, codes and finite geometries. Shanghai Jiao Tong Univ., Shanghai, China, May 14--18, 1996 ⋮ Recent progress on the existence of perfect Mendelsohn designs ⋮ Existence of 4-fold perfect \((v, \{5, 8\}, 1)\)-Mendelsohn designs ⋮ Perfect Mendelsohn designs with block size six ⋮ Difference families, difference matrices, and BIB-designs ⋮ Perfect Mendelsohn designs with block size six ⋮ Resolvable Mendelsohn designs with block size 4 ⋮ On the existence of (v,7,1)-perfect Mendelsohn designs ⋮ Almost resolvable perfect Mendelsohn designs with block size five ⋮ A (2,11) combinatorial groupoid ⋮ The spectra of a variety of quasigroups and related combinatorial designs ⋮ Perpendicularly separable quasigroups ⋮ Existence of \(r\)-fold perfect \((v,K,1)\)-Mendelsohn designs with \(K\subseteq \{4,5,6,7\}\) ⋮ Existence of certain block designs ⋮ Mendelsohn designs associated with a class of idempotent quasigroups ⋮ The existence of perfect Mendelsohn designs with block size 7 ⋮ Quadratical quasigroups and Mendelsohn designs

Cites Work

• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• Construction of n-cyclic quasi-groups and applications
• Balanced incomplete block designs and related designs
• Cyclotomy and difference families in elementary Abelian groups
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
• An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures
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