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 $N=Z_4$, 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 $N=Z_2 \times Z_2$, nine of the abelian groups and 194 of the non-abelian groups of order 64 contain $(16,4,16,4)$ RDSs.
@article{10_37236_2776,
author = {David Clark and Vladimir D. Tonchev},
title = {Enumeration of (16,4,16,4) relative difference sets},
journal = {The electronic journal of combinatorics},
year = {2013},
volume = {20},
number = {1},
doi = {10.37236/2776},
zbl = {1267.05047},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2776/}
}
TY - JOUR
AU - David Clark
AU - Vladimir D. Tonchev
TI - Enumeration of (16,4,16,4) relative difference sets
JO - The electronic journal of combinatorics
PY - 2013
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/2776/
DO - 10.37236/2776
ID - 10_37236_2776
ER -
%0 Journal Article
%A David Clark
%A Vladimir D. Tonchev
%T Enumeration of (16,4,16,4) relative difference sets
%J The electronic journal of combinatorics
%D 2013
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/2776/
%R 10.37236/2776
%F 10_37236_2776
David Clark; Vladimir D. Tonchev. Enumeration of (16,4,16,4) relative difference sets. The electronic journal of combinatorics, Tome 20 (2013) no. 1. doi: 10.37236/2776
