Classification of partial difference sets in Abelian groups of order 4p^2

Authors

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

Document Type

Article

Publication Date

9-2016

Abstract

In this article we provide a complete classification of regular partial difference sets in Abelian groups of order 4p², p an odd prime. It turns out that the known examples are the only examples. These are, up to complements, the trivial examples, the PCP examples, and a sporadic example in ℤ²₂ × ℤ²₃.

Publisher's Statement

© Springer Science+Business Media New York 2016.

Publisher's version of record: https://doi.org/10.1007/s10623-016-0280-x

Publication Title

Designs, Codes and Cryptography

Recommended Citation

DeWinter, S., & Wang, Z. (2016). Classification of partial difference sets in Abelian groups of order 4p^2. Designs, Codes and Cryptography, 84(3), 451-461. http://doi.org/10.1007/s10623-016-0280-x
Retrieved from: https://digitalcommons.mtu.edu/math-fp/7