✦ LIBER ✦
Incomplete self-orthogonal latin squares ISOLS(6m + 6, 2m) exist for all m
✍ Scribed by Katherine Heinrich; Lisheng Wu; L. Zhu
- Book ID
- 103057556
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 661 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Heinrich, K., L. Wu and L. Zhu, Incomplete self-orthogonal latin squares ISOLS(6m + 6, 2m) exist fo all m, Discrete Mathematics 87 (1991) 281-290.
An incomplete self-orthogonal latin square of order v with an empty subarray of order n, an ISOLS(v, n) can exist only if v 2 3n + 1. We show that an ISOLS(6m + 6, 2m) exists for all values of m and thus only the existence of an ISOLS(6m + 2,2m), m 2 2, remains in doubt.