Classification of 2-symbol orthogonal arrays of even-strength t and t + 2 columns up to OD-equivalence

Document Type

Article

Publication Date

2022

Abstract

Bulutoglu and Ryan [Australas. J. Combin. 70 (2018), 362–385] developed the concept of OD-equivalence of 2-symbol orthogonal arrays (OAs) that captures the symmetries present in the even-strength cases that cannot be captured by array isomorphism. In this paper, we improve upon the classification results up to isomorphism of Stufken and Tang [Ann. Stat. 35 (2007), 793–814] by classifying all non-OD-equivalent 2-symbol OAs of even-strength t with t + 2 columns and index λ. The classification results up to OD-equivalence that we obtain are significantly simpler than the classification results up to isomorphism of Stufken and Tang in the aforementioned paper. © The author(s).

Source Publication

Australasian Journal of Combinatorics

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