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Volume 16, Issue 1
A Construction of Special Self-Orthogonal Latin Squares Based on Frequency Squares

Yong Zhang, Wen Li & Xuerong Shi

J. Info. Comput. Sci. , 16 (2021), pp. 064-070.

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  • 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 $n> 4.$

  • Keywords

Latin square, frequency square, self-orthogonal, strongly symmetric, weakly pandiagonal.

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COPYRIGHT: © Global Science Press

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@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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