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Reza Kahkeshani

Reza Kahkeshani

Assistant Professor

College: Faculty of Mathematics

Department: Pure Mathematics

Degree: Ph.D

Birth Year: 1978

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Reza Kahkeshani

Assistant Professor Reza Kahkeshani

College: Faculty of Mathematics - Department: Pure Mathematics Degree: Ph.D | Birth Year: 1978 |

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 $V_{8n}$.

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