Elsevier

Discrete Mathematics

Volume 97, Issues 1–3, 10 December 1991, Pages 177-190
Discrete Mathematics

Difference families from rings

In memory of Egmont Köhler.
https://doi.org/10.1016/0012-365X(91)90433-3Get rights and content
Under an Elsevier user license
open archive

Abstract

Some difference family constructions originating with Bose, Hanani and Wilson that require finite fields are modified to work in rings with unity. These ring constructions are then used to derive new classes of abelian and cyclic difference families with blocks size 4. These constructions are also used to provide examples of infinite classes of nested designs.

Cited by (0)