The Mann Test for Divisible Difference Sets

Authors

K. T. Arasu, Wright State University - Main CampusFollow
Dieter Jungnickel
Alexander Pott

Document Type

Article

Publication Date

9-1-1991

Abstract

The Mann test [E. S. Lander, {\it Symmetric designs:an algebraic approach}, Section 4.2, Cambridge Univ. Press, Cambridge, 1983; MR0697566 (85d:05041) ] isone of the most powerfulexistence tests for difference sets. There are many attempts to modifythe test to suit other combinatorial configurations. Forexample, Jungnickel has recently proved an analogous test for affine differencesets. In this paper, the authors generalize Jungnickel'sresult so that the test can be applied to divisible difference sets.Some case studies are provided to show that this approach is fruitful.

Comments

Errarum was published in 1994 and can be found at the following link: https://corescholar.libraries.wright.edu/math/517/

Repository Citation

Arasu, K. T., Jungnickel, D., & Pott, A. (1991). The Mann Test for Divisible Difference Sets. Graphs and Combinatorics, 7 (3), 209-217.
https://corescholar.libraries.wright.edu/math/516

DOI

10.1007/BF01787628