On the existence of frames

DOI10.1016/0012-365X(81)90142-4zbMath0465.05015MaRDI QIDQ1154469

Scott A. Vanstone, Ronald C. Mullin, Paul J. Schellenberg, Walter D. Wallis

Publication date: 1981

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

zbMATH Keywords

framespairwise balanced designsroom squares

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (23)

A survey on maximum distance holey packings ⋮ Directed packings with block size 5 and even \(v\) ⋮ 3-complementary frames and doubly near resolvable (v,3,2)-BIBDs ⋮ Pairwise balanced designs with block sizes \(6t+1\) ⋮ Orthogonal resolutions in odd balanced tournament designs ⋮ Guest editorial: Special issue in honor of Scott A. Vanstone ⋮ A generalization of the singular direct product with applications to skew room squares ⋮ On combinatorial designs with subdesigns ⋮ Latin squares with pairwise orthogonal conjugates ⋮ Pairwise balanced designs with odd block sizes exceeding five ⋮ Existence of \((v,\{5,w^*\},1)\)-PBDs. ⋮ Incomplete group divisible designs with block size four and general index ⋮ Four pairwise balanced designs ⋮ A survey of Kirkman triple systems and related designs ⋮ On the existence of partitionable skew Room frames ⋮ Resolvable Mendelsohn designs with block size 4 ⋮ The existence of 3 orthogonal partitioned incomplete Latin squares of type \(t^ n\) ⋮ Some combinatorial constructions for optimal perfect deletion-correcting codes ⋮ Packing pairs by quintuples: The case of zero congruence mod 4 ⋮ A New Construction of Group Divisible Designs with Nonuniform Group Type ⋮ The spectra of a variety of quasigroups and related combinatorial designs ⋮ Howell designs with sub-designs ⋮ Covering triples by quadruples: an asymptotic solution

Cites Work

• A generalization of the singular direct product with applications to skew room squares
• Balanced incomplete block designs and related designs
• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• A recursive construction for Room designs
• On the existence of Room squares of order \(4n\)
• On balanced incomplete block designs with blocks having five elements
• On resolvable designs
• Some Designs Used in Constructing Skew Room Squares
• Some Results on the Existence of Squares
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