Non-existence of two types of partial difference sets

Authors

Stefaan DeWinter, Michigan Technological UniversityFollow
Eric Neubert, Michigan Technological UniversityFollow
Zeying Wang, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

9-2017

Abstract

In this note we prove the non-existence of two types of partial difference sets in Abelian groups of order 216. This completes the classification of parameters for which a partial difference set of size at most 100 exists in an Abelian group.

Publisher's Statement

© 2017 Elsevier B.V. All rights reserved.

Publisher's version of record: https://doi.org/10.1016/j.disc.2017.03.021

Publication Title

Discrete Mathematics

Recommended Citation

DeWinter, S., Neubert, E., & Wang, Z. (2017). Non-existence of two types of partial difference sets. Discrete Mathematics, 340(9), 2130-2133. http://doi.org/10.1016/j.disc.2017.03.021
Retrieved from: https://digitalcommons.mtu.edu/math-fp/6