On the Permutation Code of the Group $V_{8n}$ and Its Parameters

AuthorsM. Yazdani-Moghaddam-R. Kahkeshani
JournalIndian J. Math.
Presented byUniversity of Kashan
Page number161-174
Volume number61
Paper TypeOriginal Research
Published At2019-08-01
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIndia

Abstract

In this paper, we consider the permutation code of the group $V_{8n}$ and study its parameters and the other properties.
We obtain its minimum distance, radius, diameter, covering radius, and remoteness.
It is shown that the covering radius and the remoteness of $V_{8n}$ are related to the existence of 
a transversal in the array whose rows are made up of the codewords of $V_{8n}$.

Paper URL

tags: permutation code, remoteness, group $V_{8n}$, Latin square, transversal.