Performance comparison between Hermitian codes and shortened non-binary BCH codes

Author

Jibril, Mubarak ; Tomlinson, Martin ; Ahmed, Mohammed Zaki ; Tjhai, Cen

Author_Institution

Sch. of Comput., Communcation & Electron., Univ. of Plymouth, Plymouth, UK

fYear

2009

fDate

9-11 Nov. 2009

Firstpage

1

Lastpage

5

Abstract

We explore the benefits of implementing Hermitian codes over moderate lengths and compare the hard decision decoding performance in the additive white Gaussian noise (AWGN) channel and performance in the erasure channel of Hermitian codes with shortened non-binary Bose Hocquenghem Chaudhuri (BCH) codes. We implement the Berlekamp-Massey-Sakata (BMSA) decoding and Berlekamp-Massey (BMA) decoding for the hard decision Hermitian and BCH codes respectively, maximum likelihood erasure decoding and ordered reliability soft decision decoding for both.

Keywords

AWGN channels; BCH codes; Hermitian matrices; maximum likelihood decoding; AWGN channel; Berlekamp-Massey decoding; Berlekamp-Massey-Sakata decoding; Bose Hocquenghem Chaudhuri codes; Hermitian codes; additive white Gaussian noise channel; hard decision decoding performance; maximum likelihood erasure decoding; ordered reliability soft decision decoding; shortened nonbinary BCH codes; AWGN; Additive white noise; Channel capacity; Error correction codes; Fourier transforms; Galois fields; Geometry; Maximum likelihood decoding; Performance loss; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwaves, Communications, Antennas and Electronics Systems, 2009. COMCAS 2009. IEEE International Conference on

Conference_Location

Tel Aviv

Print_ISBN

978-1-4244-3985-0

Type

conf

DOI

10.1109/COMCAS.2009.5386010

Filename

5386010