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.

Published

2021-11-02

Issue

Section

Articles