On generalized strong complete mappings and mutually orthogonal Latin squares

Authors

DOI:

https://doi.org/10.26493/1855-3974.2388.928

Keywords:

Strong complete mapping, group, finite field, mutually orthogonal Latin squares (MOLS)

Abstract

We present an application of generalized strong complete mappings to construction of a family of mutually orthogonal Latin squares. We also determine a cycle structure of such mapping which form a complete family of MOLS. Many constructions of generalized strong complete mappings over an extension of finite field are provided.

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Published

2021-11-02

Issue

Vol. 21 No. 2 (2021)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/