The remoteness of the permutation code of the group U_{۶n}

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 U_{۶n} as a subgroup of S_{۲n+۳} and obtain its remoteness.  We show that the remoteness of the permutation code U_{۶n} is ۲n+۲.  Moreover, it is proved that the covering radius of U_{۶n} is also ۲n+۲.

کلیدواژه ها:

permutation code ، ‎permutation array ، ‎remoteness ، ‎group U_{۶n}