Contents

Ars Combinatoria

  • Research article

On Full Orthogonal Designs in Order \(56\)

S. Georgiou1, C. Koukouvinos1, Jennifer Seberry2
1Department of Mathematics National Technical University of Athens Zografou 15773, Athens, Greece
2School of IT and Computer Science University of Wollongong Wollongong, NSW, 2522, Australia
  • Published: 31/10/2002

Abstract

We find new full orthogonal designs in order \(56\) and show that of
\(1285\) possible \(OD(56; s_1, s_2, s_3,56 – s_1 – s_2 – s_3)\) \(163\) are known, of
\(261\) possible \(OD(56; s_1, s_2, 56 – s_1 – s_2)\) \(179\) are known. All possible
\(OD(56; s_1,56 – s_1)\) are known.

Citation
S. Georgiou, C. Koukouvinos, Jennifer Seberry. On Full Orthogonal Designs in Order \(56\)[J], Ars Combinatoria, Volume 065. 79-89. .