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Majid Mazrooei

Majid Mazrooei

Assistant Professor

Former Co-Worker

College: Faculty of Mathematics

Department: Pure Mathematics

Degree: Ph.D

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Majid Mazrooei

Assistant Professor Majid Mazrooei

Former Co-Worker
College: Faculty of Mathematics - Department: Pure Mathematics Degree: Ph.D |

A generalization of Reed-Solomon Codes based on generalized discrete Fourier transform

AuthorsM. Mazrooei - N. Sahami
JournalJournal of Algebraic Structures and their Applications
Presented byUniversity of Kashan
Volume number6
Paper TypeFull Paper
Published At2019-06-01
Journal GradeScientific - research
Journal TypeTypographic
Journal CountryIran, 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.

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