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

نویسندگانM. Yazdani-Moghaddam-R. Kahkeshani
نشریهIndian J. Math.
ارائه به نام دانشگاهUniversity of Kashan
شماره صفحات161-174
شماره مجلد61
نوع مقالهOriginal Research
تاریخ انتشار2019-08-01
رتبه نشریهعلمی - پژوهشی
نوع نشریهالکترونیکی
کشور محل چاپهند

چکیده مقاله

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 $V_{8n}$.

لینک ثابت مقاله

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