IJPAM: Volume 94, No. 1 (2014)
OVER OF ANY LENGTH
Department of Mathematics
C-233, Kean University
1000 Morris Ave, Union, New Jersey, USA
Abstract. Over the last two decades, there have been discoveries of various good codes over the rings of integers modulo . Restrictions have been imposed on the code's alphabet size and over the code's length for many reasons. This paper shows a construction of the generators of cyclic codes over via the Division Algorithm, with no restrictions on the aforementioned code parameters.
Received: April 2, 2014
AMS Subject Classification: 94B15
Key Words and Phrases: cyclic codes, generators, principal ideals, division algorithm
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DOI: 10.12732/ijpam.v94i1.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 71 - 80
This work is licensed under the Creative Commons Attribution International License (CC BY).