The remoteness of the permutation code of the group U 6n

Recently, a new parameter of a code, referred to as the remoteness, has been introduced.
This parameter can be viewed as a dual to the covering radius. It is exactly determined for the cyclic and dihedral groups. In this paper, we consider the group U6n as a subgroup of S2n and obtain its remoteness. We show that the remoteness of the permutation code U6n is 2n. Moreover, it is proved that the covering radius of U6n is also 2n.