✦ LIBER ✦
A counter-example to a conjecture relating complete sets of frequency squares and affine geometries
✍ Scribed by C. Laywine
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 459 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
By generalizing the construction of complete sets of mutually orthogonal latin squares from affine planes, showed how to obtain complete sets of mutually orthogonal frequency squares from affine geometries. In this paper, the construction of a complete set of frequency squares not equivalent to an affine geometry is outlined. This set eliminates any hope of finding a straightforward generalization of Bose's equivalence between latin squares and aftine planes by means of frequency squares and affine geometries.