| Authors | M. Mazrooei - N. Sahami |
|---|---|
| Journal | Journal of Algebraic Structures and their Applications |
| Presented by | University of Kashan |
| Volume number | 6 |
| Paper Type | Full Paper |
| Published At | 2019-06-01 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
Abstract
In this paper, we employ the concept of the Generalized Discrete Fourier Transform, which in turn relies on the Hasse derivative of polynomials, to give a general construction of Reed-Solomon codes over Galois elds of characteristic not necessarily co-prime with the length of the code. The constructed linear codes enjoy nice algebraic properties just as the classic one.
tags: Generalized Discrete Fourier Transform, Hasse Derivatives, Linear Codes, Reed-Solomon Codes