Concerning seven and eight Mutually Orthogonal Latin Squares

R. Julian, Charles Colbourn, Charles J. Colbourn, Mieczyslaw Wojtas

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

In this paper, three new direct Mutually Orthogonal Latin Squares (MOLS) constructions are presented for 7 MOLS(24), 7 MOLS(75) and 8 MOLS(36); then using recursive methods, several new constructions for 7 and 8 MOLS are obtained. These reduce the largest value for which 7 MOLS are unknown from 780 to 570, and the largest odd value for which 8 MOLS are unknown from 1935 to 1419.

Original languageEnglish (US)
Pages (from-to)123-131
Number of pages9
JournalJournal of Combinatorial Designs
Volume12
Issue number2
StatePublished - 2004

Fingerprint

Mutually Orthogonal Latin Squares
Unknown
Recursive Method
Odd

Keywords

  • Difference matrix
  • MOLS
  • Quasi-difference matrix
  • Transversal design

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

Cite this

Concerning seven and eight Mutually Orthogonal Latin Squares. / Julian, R.; Colbourn, Charles; Colbourn, Charles J.; Wojtas, Mieczyslaw.

In: Journal of Combinatorial Designs, Vol. 12, No. 2, 2004, p. 123-131.

Research output: Contribution to journalArticle

Julian, R, Colbourn, C, Colbourn, CJ & Wojtas, M 2004, 'Concerning seven and eight Mutually Orthogonal Latin Squares', Journal of Combinatorial Designs, vol. 12, no. 2, pp. 123-131.
Julian, R. ; Colbourn, Charles ; Colbourn, Charles J. ; Wojtas, Mieczyslaw. / Concerning seven and eight Mutually Orthogonal Latin Squares. In: Journal of Combinatorial Designs. 2004 ; Vol. 12, No. 2. pp. 123-131.
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