Enumeration of (16,4,16,4) relative difference sets

Authors

David C. Clark, Michigan Technological University
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

3-31-2013

Abstract

A complete enumeration of relative difference sets (RDS) with parameters (16, 4, 16, 4) in a group of order 64 with a normal subgroup N of order 4 is given. If N = Z₄ , three of the 11 abelian groups of order 64, and 23 of the 256 nonabelian groups of order 64 contain (16, 4, 16, 4) RDSs. If N = Z₂ × Z₂ , nine of the abelian groups and 194 of the non-abelian groups of order 64 contain (16, 4, 16, 4) RDSs.

Publisher's Statement

© 2013. Publisher’s version of record: https://doi.org/10.37236/2776

Publication Title

The Electronic Journal of Combinatorics

Recommended Citation

Clark, D. C., & Tonchev, V. (2013). Enumeration of (16,4,16,4) relative difference sets. The Electronic Journal of Combinatorics, 20(1), 1-14. http://doi.org/10.37236/2776
Retrieved from: https://digitalcommons.mtu.edu/math-fp/89

Version

Publisher's PDF