On the existence of linear trend free block designs

Abstract

We present a class of counerexamples for a conjecture on the existence or linear trend free block designs we will also prove a considerably weakened version of this conjecture which will determine all combinations of designs parmetres for which the class of linear trend free block designs is non empty.

Keywords:

• eliminating linear trend effects
• design construction
• incomlete block designs
• kronecker product designs