A quick construction of mutually orthogonal sudoku squares

TL;DR

This paper presents a rapid method for constructing large sets of mutually orthogonal sudoku squares of order q^2 for any odd prime power q, enhancing the efficiency of generating such combinatorial designs.

Contribution

It introduces a novel quick construction technique for complete families of mutually orthogonal sudoku squares applicable to any odd prime power q.

Findings

Constructed families of q(q-1) mutually orthogonal sudoku squares for various q.

The method simplifies the generation process compared to previous approaches.

Applicable to all odd prime power orders, broadening the scope of orthogonal sudoku designs.

Abstract

For any odd prime power q we provide a quick construction of a complete family of q(q-1) mutually orthogonal sudoku squares of order q^2.