@article { author = {Yazdani-Moghaddam, Masoomeh and Kahkeshani, Reza}, title = {The remoteness of the permutation code of the group $U_{6n}$}, journal = {Algebraic Structures and Their Applications}, volume = {3}, number = {2}, pages = {71-79}, year = {2016}, publisher = {Yazd University}, issn = {2382-9761}, eissn = {2423-3447}, doi = {}, abstract = {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 $2n+2$.}, keywords = {permutation code,‎permutation array,‎remoteness,‎group $U_{6n}$}, url = {https://as.yazd.ac.ir/article_1057.html}, eprint = {https://as.yazd.ac.ir/article_1057_758aa9213fb349f92e6a2c3f83d75f99.pdf} }