%0 Journal Article
%T The remoteness of the permutation code of the group $U_{6n}$
%J Algebraic Structures and Their Applications
%I Yazd University
%Z 2382-9761
%A Yazdani-Moghaddam, Masoomeh
%A Kahkeshani, Reza
%D 2016
%\ 11/01/2016
%V 3
%N 2
%P 71-79
%! The remoteness of the permutation code of the group $U_{6n}$
%K permutation code
%K permutation array
%K remoteness
%K group $U_{6n}$
%R
%X 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 $U_{6n}$ as a subgroup of $S_{2n+3}$ and obtain its remoteness. We show that the remoteness of the permutation code $U_{6n}$ is $2n+2$. Moreover, it is proved that the covering radius of $U_{6n}$ is also $2n+2$.
%U https://as.yazd.ac.ir/article_1057_758aa9213fb349f92e6a2c3f83d75f99.pdf