A construction of strength-3 orthogonal arrays using symmetry

Man Nguyen Van Minh

Orthogonal arrays are combinatorial structures which are interesting both from theoretical and practical viewpoints. We introduce an algebraic approach to their construction. Our method is applicable for any type of orthogonal array, but it is less effective in finding arrays with large run sizes.

The methods to be discussed include converting the construction problem to an integer programming problem and using the symmetry of the original array to prune the solution space. We use this approach to enumerate all orthogonal arrays of runsize at most 60 and strength 3.

back to TU/e Combinatorial Theory Seminar announcements