Dataset for New Results on Tripod Packings

The files contain tripod packings obtained in the study "P.R.J. Östergård & A. Pöllänen, New results on tripod packings". More specifically, they prove the lower bounds in Table 5 of the paper. The two files contain sets of orbit representatives of codes and explicit packings in matrix form. For each type of symmetry, the results presented are for n=3,4,…. Codewords are of the form (x,y,z), where x,y,z∈{0,1,…,n−1}. The symmetries are

r(x,y,z)=(z,x,y),
p(x,y,z)=(y,x,z),
o(x,y,z)=(n−1−x,n−1−y,n−1−z).