Title :
Correcting combinations of errors and erasures with Euclidean geometry LDPC codes
Author :
Qiuju Diao ; Ying Yu Tai ; Shu Lin ; Abdel-Ghaffar, Khaled
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of California, Davis, Davis, CA, USA
Abstract :
It is shown that Euclidean geometry LDPC codes in conjunction with their shortened codes obtained by puncturing their parity-check matrices are effective in correcting combinations of errors and erasures with a two-phase decoding scheme. This is due to the large row redundancies of the parity-check matrices of these codes which are given by the incidence matrices of Euclidean geometries.
Keywords :
matrix algebra; parity check codes; redundancy; Euclidean geometry LDPC codes; incidence matrices; parity-check matrices; redundancy; shortened codes; two-phase decoding scheme; Charge carrier processes; Decoding; Geometry; Iterative decoding; Null space; Vectors;
Conference_Titel :
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location :
Istanbul
DOI :
10.1109/ISIT.2013.6620514
