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

Majid MAZROOEI; Lale RAHIMI; Najme SAHAMI

Makale detayları

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

Yazarlar:

Majid MAZROOEI | Lale RAHIMI | Najme SAHAMI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.349-359

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745958

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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.

Makale detayları

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

Yazarlar: Majid MAZROOEI | Lale RAHIMI | Najme SAHAMI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.349-359

Belge Tipi: Makale

Yayın Tarihi: 1/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745958

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Majid MAZROOEI | Lale RAHIMI | Najme SAHAMI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.349-359

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745958

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098