Block-Transitive Designs in Affine Spaces

Details Block-Transitive Designs in Affine Spaces Block-Transitive Designs in Affine Spaces

2009-10-03

arxiv.org/abs/0910.0533v1

Mathematics

Combinatorics

10 pages; to appear in: "Designs, Codes and Cryptography"

Scientific paper

This paper deals with block-transitive $t$-$(v,k,\lambda)$ designs in affine spaces for large $t$, with a focus on the important index $\lambda=1$ case. We prove that there are no non-trivial 5-$(v,k,1)$ designs admitting a block-transitive group of automorphisms that is of affine type. Moreover, we show that the corresponding non-existence result holds for 4-$(v,k,1)$ designs, except possibly when the group is one-dimensional affine. Our approach involves a consideration of the finite 2-homogeneous affine permutation groups.

Affiliated with

Also associated with

No associations

Rating

Block-Transitive Designs in Affine Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Block-Transitive Designs in Affine Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Block-Transitive Designs in Affine Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-432386