Constructing Ordered Orthogonal Arrays via Sudoku
John Lorch
TL;DR
This paper introduces a method to construct ordered orthogonal arrays using strongly orthogonal linear Sudoku solutions for prime power orders, expanding the range of parameters for such arrays.
Contribution
It presents a novel construction technique linking Sudoku solutions to ordered orthogonal arrays for prime power orders.
Findings
Constructed ordered orthogonal arrays for various parameters.
Established a new connection between Sudoku solutions and orthogonal arrays.
Extended the known range of parameters for these arrays.
Abstract
For prime powers q we use "strongly orthogonal" linear Sudoku solutions of order q^2 to construct ordered orthogonal arrays of type OOA (4,s,2,q), and for each q we present a range of values of s for which these constructions are valid.
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Taxonomy
Topicsgraph theory and CDMA systems · Optimal Experimental Design Methods · VLSI and Analog Circuit Testing