Partial difference sets in C_{2^n}xC_{2^n}
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Partial difference sets in C_{2^n} x C_{2^n}
In the text file below we give a canonical representative of each tree-automorphism class of the regular nontrivial partial difference sets of even size in G_n = C_{2^n} x C_{2^n}. Please see our paper for all definitions. As explained in our paper, the representatives we give (for n<=9) are sufficient to describe ALL regular nontrivial partial difference sets in G_n. For n=10 and n=11 our lists are likely incomplete, as we had to halt our algorithm before it was able to finish. The partial difference sets in this file are listed as subsets (i.e., 0-1 colorings) of the orbit tree of G_n.
Text file
Last updated Nov. 27, 2018