TY - JOUR
T1 - A Construction of Special Self-Orthogonal Latin Squares Based on Frequency Squares
AU - Zhang , Yong
AU - Li , Wen
AU - Shi , Xuerong
JO - Journal of Information and Computing Science
VL - 1
SP - 064
EP - 070
PY - 2024
DA - 2024/01
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22380.html
KW - Latin square, frequency square, self-orthogonal, strongly symmetric, weakly pandiagonal.
AB - <p style="text-align: justify;">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 $p.$&nbsp;It is proved that there exists a weakly pandiagonal strongly symmetric selforthogonal diagonal Latin square of order $n$ for $n&gt; 4.$</p>