Title :
Construction of Quasi-Cyclic LDPC Codes Based on the Primitive Elements of Finite Fields
Author :
Song, Shumei ; Lan, Lan ; Lin, Shu ; Abdel-Ghaffar, Khaled
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Davis, CA
Abstract :
This paper presents an algebraic method for constructing quasi-cyclic LDPC codes based on the primitive elements of finite fields. The construction gives a class of efficiently encodable quasi-cyclic LDPC codes. Experimental results show that the constructed codes decoded with iterative decoding using the sum-product algorithm perform well over the AWGN channel.
Keywords :
AWGN channels; algebraic codes; channel coding; cyclic codes; iterative decoding; parity check codes; AWGN channel; algebraic method; iterative decoding; low density parity check; primitive elements of finite field; quasicyclic LDPC code construction; sum-product algorithm; AWGN channels; Block codes; Galois fields; Iterative decoding; Null space; Parity check codes; Reed-Solomon codes; Sparse matrices; Sum product algorithm;
Conference_Titel :
Information Sciences and Systems, 2006 40th Annual Conference on
Conference_Location :
Princeton, NJ
Print_ISBN :
1-4244-0349-9
Electronic_ISBN :
1-4244-0350-2
DOI :
10.1109/CISS.2006.286583
