Two-dimensional generalized discrete Fourier transform and related quasi-cyclic Reed‒Solomon codes

Autor:	MAZROOEI, Majid, RAHIMI, Lale, SAHAMI, Najme
Rok vydání:	2018
Předmět:	Discrete Fourier transform partial Hasse derivative Reed‒Solomon codes
Zdroj:	Volume: 42, Issue: 1 349-359 Turkish Journal of Mathematics
ISSN:	1300-0098 1303-6149
Popis:	Using the concept of the partial Hasse derivative, we introduce a generalization of the classical 2-dimensional discrete Fourier transform, which will be called 2D-GDFT. Begining with the basic properties of 2D-GDFT, we proceed to study its computational aspects as well as the inverse transform, which necessitate the development of a faster way to calculate the 2D-GDFT. As an application, we will employ 2D-GDFT to construct a new family of quasi-cyclic linear codes that can be assumed to be a generalization of Reed‒Solomon codes.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=tubitakulakb::3ccd848509ecc30eb1735a2936bb21f8 https://dergipark.org.tr/tr/pub/tbtkmath/issue/35843/401827 Zobrazit plný text záznamu