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Holey self-orthogonal Latin squares with symmetric orthogonal mates

โœ Scribed by F. E. Bennett; H. Zhang; L. Zhu


Book ID
110555576
Publisher
Springer
Year
1997
Tongue
English
Weight
536 KB
Volume
1
Category
Article
ISSN
0218-0006

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๐Ÿ“œ SIMILAR VOLUMES


Orthogonal latin squares with subsquares
โœ L Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 275 KB

Denote by LS(v, n) a pair of orthogonal latin squares of side v with orthogonal subsquares of side n. It is proved by using a generalized singular direct product that for every odd integer n ~>304 or every even integer n ~> 304 in some infinite families, an LS(v, n) exists if and only if v>~3n. It i