A Method Constructing Orthogonal Latin Squares Based on Complete Y-Matrixes
- 10.2991/csic-15.2015.84How to use a DOI?
- Finite group, Complete Y-matrix, Galois field, Orthogonal Latin square, Method
The complete classes of orthogonal Latin squares can be constructed from Galois fields. The complete Y-matrix in  presents a new representation of finite group. A complete Y-matrix decides a finite group, and a finite group induces a completeY-matrix. Based on this idea, we can construct Galois fields by constructing a pair ofcomplete Y-matrixes, one is associated to additive group, and another is associatedto multiplication group of the Galois field. The complete Y-matrix corresponding tomultiplication group is constructed by some proper cyclic permutations since a cyclicgroup can be constructed a cyclic permutation. In this paper, we present a methodto generate orthogonal Latin squares based on the construction of fields by complete-matrixes.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Yongbin Qin AU - Jie Li AU - Daoyun Xu PY - 2015/07 DA - 2015/07 TI - A Method Constructing Orthogonal Latin Squares Based on Complete Y-Matrixes BT - Proceedings of the 2015 International Conference on Computer Science and Intelligent Communication PB - Atlantis Press SP - 350 EP - 354 SN - 2352-538X UR - https://doi.org/10.2991/csic-15.2015.84 DO - 10.2991/csic-15.2015.84 ID - Qin2015/07 ER -