On Full Orthogonal Designs in Order 72

S. Georgiou, National Technical University of Athens, Greece
C. Koukouvinos, National Technical University of Athens, Greece
J. Seberry, University of Wollongong

Article comments

This article was originally published as Georgiou, S, Koukouvinos, C and Seberry, J, On Full Orthogonal Designs in Order 72, Journal of Combinatorial Mathematics and Combinatorial Computing, 44, 2003, 11-21.

Abstract

We find new full orthogonal designs in order 72 and show that of 2700 possible OD(72; s1, s2, s3, 72—s1—s2—s3) 335 are known, of 432 possible OD(72; s1, s2, 72—si—s2) 308 are known. All possible OD(72; s1, 72 — s1) are known.