A high rate non-binary QC-LDPC codes in high order Galois Field for PR2 and EPR2 channels

Author

Kupimai, Mongkol

Author_Institution

Dept. of Electron. & Telecommun. Eng., Rajamangala Univ. of Technol., Isan, Thailand

fYear

2014

fDate

14-17 May 2014

Firstpage

1

Lastpage

4

Abstract

In this paper, the new structure of high rate non-binary QC-LDPC codes based on the circulant permutation matrices is proposed. The construction of parity-check matrix of the proposed codes is obtained from (2, L) regular QC-LDPC codes. The parity-check matrix of the proposed codes has girth greater than 8. Simulation results over PR channels with the high order Galois Field show that the bit error rate and the symbol error rate performance of the proposed codes is better than those of the random non-binary LDPC codes, both in PR2 channel and EPR2 channel.

Keywords

Galois fields; channel coding; error statistics; parity check codes; EPR2 channels; PR2 channels; binary QC-LDPC codes; bit error rate; circulant permutation matrices; high order Galois Field; high order Galois field; high rate nonbinary QC-LDPC codes; random nonbinary LDPC codes; symbol error rate performance; Bit error rate; Complexity theory; Decoding; Galois fields; Magnetic recording; Parity check codes;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), 2014 11th International Conference on

Conference_Location

Nakhon Ratchasima

Type

conf

DOI

10.1109/ECTICon.2014.6839791

Filename

6839791