Title :
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
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;
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
DOI :
10.1109/COMCAS.2009.5386010
