@Article{JICS-16-064,
author = {Zhang , YongLi , Wen and Shi , Xuerong},
title = {A Construction of Special Self-Orthogonal Latin Squares Based on Frequency Squares},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {16},
number = {1},
pages = {064--070},
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 $n> 4.$
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22380.html}
}
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 -
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 $n> 4.$
Zhang , YongLi , Wen and Shi , Xuerong. (2024). A Construction of Special Self-Orthogonal Latin Squares Based on Frequency Squares.
Journal of Information and Computing Science. 16 (1).
064-070.
doi:
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