Constructing ordered orthogonal arrays via sudoku

摘要

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. These results rely strongly on flags of subspaces in a four-dimensional vector space over a finite field.