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On seven mutually orthogonal Latin squares

โœ Scribed by Mieczyslaw Wojtas

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
727 KB
Volume
20
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

Let N(n) denote the maximum numner of mutually orthogonal Latin squares of order n. II is shown that N(n) 3 7 for n > 4922.

๐Ÿ“œ SIMILAR VOLUMES

Concerning seven and eight mutually orth
Concerning seven and eight mutually orthogonal Latin squares
โœ R. Julian R. Abel; Charles J. Colbourn; Mieczyslaw Wojtas ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 97 KB

## 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 unkn

Concerning eight mutually orthogonal lat
Concerning eight mutually orthogonal latin squares
โœ R. Julian R. Abel; Nicholas Cavenagh ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 83 KB

## Abstract In this article, we provide a direct construction for 8 mutually orthogonal latin squares (MOLS)(48). Using this design together with one of Wilson's recursive constructions produces 8 new MOLS(__v__) for 88 other values of __v__. We also mention a few other new sets of 8 and 12 MOLS ob

Five mutually orthogonal Latin squares o
Five mutually orthogonal Latin squares of order 35
โœ Mieczyslaw Wojtas ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 73 KB ๐Ÿ‘ 1 views

Let N ( n ) denote the maximum number of mutually orthogonal Latin squares of order n. It is shown that N(35) 2 5.

Six mutually orthogonal Latin squares of
Six mutually orthogonal Latin squares of order 48
โœ Mieczyslaw Wojtas ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 103 KB ๐Ÿ‘ 1 views

A direct construction of six mutually orthogonal Latin squares of order 48 is given.