𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Orthogonality Spectrum for Latin Squares of Different Orders

✍ Scribed by Peter Dukes, Jared Howell


Book ID
118783112
Publisher
Springer Japan
Year
2011
Tongue
English
Weight
160 KB
Volume
29
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the spectrum of r-self-orthogonal Lat
✍ Yunqing Xu; Yanxun Chang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 295 KB

Two Latin squares of order n are r-orthogonal if their superposition produces exactly r distinct ordered pairs. If the second square is the transpose of the ΓΏrst one, we say that the ΓΏrst square is r-self-orthogonal, denoted by r-SOLS(n). It has been proved that the necessary condition for the exist

Five mutually orthogonal Latin squares o
✍ Mieczyslaw Wojtas πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 73 KB πŸ‘ 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
✍ Mieczyslaw Wojtas πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 103 KB πŸ‘ 1 views

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