Title of article :
The remoteness of the permutation code of the group U6n
Author/Authors :
Yazdani-Moghaddam, Masoomeh Department of Pure Mathematic - Faculty of Mathematical Sciences - University of Kashan, Kashan, Iran , Kahkeshani, Reza Department of Pure Mathematic - Faculty of Mathematical Sciences - University of Kashan, Kashan, Iran
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 U6n as a subgroup of S2n+3 and obtain its remoteness. We show that the remoteness of the permutation code U6n is 2n+2. Moreover, it is proved that the covering radius of U6n is also 2n+2.
Keywords :
permutation code , permutation array , remoteness , group U6n
Journal title :
Astroparticle Physics
