In this article we give some new constructions of self-conjugate self-orthogonal diagonal Latin squares (SCSODLS). As an application of such constructions, we give a conclusive result regarding the existence of SCSODLS and show that there exists an SCSODLS of order n if and only if n β‘ 0, 1 (mod 4),
Constructing self-conjugate self-orthogonal diagonal latin squares
β Scribed by Du Beiliang
- Book ID
- 110620009
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1998
- Tongue
- English
- Weight
- 264 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0168-9673
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π SIMILAR VOLUMES
We shall refer to a diagonal Latin square which is orthogonal to its (3, 2, 1)-conjugate and having its (3, 2, 1)-conjugate also a diagonal Latin square as a (3, 2, 1)-conjugate orthogonal diagonal Latin square, briefly CODLS. This article investigates the spectrum of CODLS and it is found that it c
## Abstract We shall refer to a diagonal Latin square which is orthogonal to its (3,1,2)βconjugate, and the latter is also a diagonal Latin square, as a (3,1, 2)βconjugate orthogonal diagonal Latin square, briefly CODLS. This article investigates the spectrum of CODLS and it is found that it contai