Yazd University Algebraic Structures and Their Applications 2382-9761 6 1 2019 03 01 A general construction of Reed-Solomon codes based on generalized discrete Fourier transform 35 45 1338 10.22034/as.2019.1338 EN Najme Sahami Department of mathematical sciences, University of Kashan, Kashan, Isfahan, Iran. Majid Mazrooei Department of mathematical sciences, University of Kashan, Kashan, Isfahan, Iran. 0000-0002-8024-7884 Journal Article 2018 04 23 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 fields 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. https://as.yazd.ac.ir/article_1338_aaf2266a8d56cf0524ddd37ed9603a3f.pdf