A general construction of Reed-Solomon codes based on generalized discrete Fourier transform
Najme Sahami, Majid Mazrooei · Algebraic structures and their applications · 2019
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.