Minimum Lee weights of Type II codes over F2rF2r

Among binary images of a Type II code over F2rF2r with respect to the trace-orthogonal bases, it has been unknown whether the minimum Hamming weights depend on the choice of bases or not; the minimum Hamming weights of the binary images of known Type II codes have been independent of the choice of bases.In this paper we give a complete list of Type II codes over F64F64 of length 8 up to a certain equivalence. This list shows us an example of a Type II code of which minimum Lee weight depends on the choice of a basis.