Author:
Dinitz Jeffrey H.,Warrington Gregory S.
Abstract
In this paper we study the spectra of certain classes of Room frames. The three spectra which we study are incomplete Room squares, uniform Room frames and Room frames of type $2^ut^1$. These problems have been studied in numerous papers over the years; in this paper, we complete the three spectra. In addition we find a Howell cube of type $H_3(6,10)$. This corrects a previous claim of nonexistence of this design.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
6 articles.
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1. Orthogonal and Strong Frame Starters: Revisited;Fields Institute Communications;2023-11-16
2. Maximal partial Room squares;Journal of Combinatorial Designs;2021-04-19
3. The existence of large set of symmetric partitioned incomplete latin squares;Journal of Combinatorial Designs;2020-02-09
4. Orthogonal one-factorizations of complete multipartite graphs;Designs, Codes and Cryptography;2018-06-04
5. Cryptography;Handbook of Finite Fields;2013-06-17