Une construction explicite de carrés latins orthogonaux d'ordre n pair, n ≥ 10

✍ Scribed by Marie-Nicole Gras

• Book ID: 102573376
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 75 KB
• Volume: 219
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1999.7879

✦ Synopsis

We construct two mutually orthogonal latin squares of order n, for all n even, n G 10; we obtain explicit formulae depending only on the value of n modulo 12; we draw our inspiration from a method which has been given by R. C. Bose, S. S. Shrikhande, and E. T. Parker, when n ' 4 mod 6.