Affine designs and linear orthogonal arrays☆

Authors

Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

4-28-2005

Abstract

It is proved that the collection of blocks of an affine 1-design that yields a linear orthogonal array is a union of parallel classes of hyperplanes in a finite affine space. In particular, for every prime power q and every m⩾2 there exists a unique (up to equivalence) complete linear orthogonal array of strength two associated with the classical design of points and hyperplanes in AG(m,q).

Publisher's Statement

Copyright © 2005 Elsevier B.V. All rights reserved. Publisher’s version of record: https://doi.org/10.1016/j.disc.2004.04.048

Publication Title

Discrete Mathematics

Recommended Citation

Tonchev, V. (2005). Affine designs and linear orthogonal arrays☆. Discrete Mathematics, 294(1-2), 219-222. http://doi.org/10.1016/j.disc.2004.04.048
Retrieved from: https://digitalcommons.mtu.edu/math-fp/118