Year: 2025
Type: article
Abstract: ABSTRACT We introduce doubly orthogonal equi‐squares. Using linear algebra over finite fields, we produce large families of mutually ‐doubly orthogonal equi‐ squares, and show these are of maximal size when . These results specialize to the results of Xu, Haaland, and Qian when and the equi‐squares are Sudoku Latin squares of order . Further, we show how a collection of mutually ‐doubly orthogonal equi‐ squares can be used to construct sliced orthogonal arrays of strength two. These orthogonal arrays have important applications in statistical designs.
Source: Journal of Combinatorial Designs
DOI: 10.1002/jcd.21982
Author: John Lorch
Institution: Ball State University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4409177148