Finding SDP Designs on 256 Points

Calvin Reedy, Eleazer Afotey Allnice, Yanran Li, Ziming (Jackman) Liu, Gabriela Lopez, Yiwei (Scarlett) Sun

In our project, we were learning more about difference sets and the designs generated by their translates in order to search for difference sets that gave designs with the symmetric difference property in groups of order 256. Through semidirect product constructions, we verified the presence of four SDP designs on 256 points that we expected to find and encountered two additional SDP designs coming from difference sets.

Department:

Mathematics

Mentor(s):

James Davis