Authors | M. Yazdani-Moghaddam-R. Kahkeshani |
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Journal | Indian J. Math. |
Presented by | University of Kashan |
Page number | 161-174 |
Volume number | 61 |
Paper Type | Original Research |
Published At | 2019-08-01 |
Journal Grade | Scientific - research |
Journal Type | Electronic |
Journal Country | India |
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 $V_{8n}$.
tags: permutation code, remoteness, group $V_{8n}$, Latin square, transversal.