A Method Constructing Orthogonal Latin Squares Based on Complete Y-Matrixes

DOI

10.2991/csic-15.2015.84How to use a DOI?

Keywords

Finite group, Complete Y-matrix, Galois field, Orthogonal Latin square, Method

Abstract

The complete classes of orthogonal Latin squares can be constructed from Galois fields. The complete Y-matrix in [1] 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.

Copyright

© 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/).

Download article (PDF)

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  -