Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9512449 | Discrete Mathematics | 2005 | 4 Pages |
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).
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Vladimir D. Tonchev,