Journals
Resources
About Us
Open Access

A Construction of Special Self-Orthogonal Latin Squares Based on Frequency Squares

Year:    2021

Author:    Yong Zhang, Wen Li, Xuerong Shi

Journal of Information and Computing Science, Vol. 16 (2021), Iss. 1 : pp. 64–70

Abstract

Let $n=p^k$, where $p$ is a prime and $k\ge 2.$ In this paper, a construction for weakly pandiagonal strongly symmetric self-orthogonal diagonal Latin squares of order $n$ is given by using frequency squares over finite field of order $p.$ It is proved that there exists a weakly pandiagonal strongly symmetric selforthogonal diagonal Latin square of order $n$ for $n> 4.$

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2024-JICS-22380

Journal of Information and Computing Science, Vol. 16 (2021), Iss. 1 : pp. 64–70

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    Latin square frequency square self-orthogonal strongly symmetric weakly pandiagonal.

Author Details

Yong Zhang

Wen Li

Xuerong Shi