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 \(n = 3,4,\ldots\). Codewords are of the form \((x,y,z)\), where \(x,y,z \in \{0,1,\ldots ,n-1\}\). The symmetries are

\(r(x,y,z) = (z,x,y)\),

\(p(x,y,z) = (y,x,z)\),

\(o(x,y,z) = (n-1-x,n-1-y,n-1-z)\).