Title :
LDPC Codes from Projective Algebraic Sets over Finite Fields
Author :
Wanbao Hu ; Yanxia Wu ; Zhen Wang ; Huaping Cai
Author_Institution :
Dept. of Math., Anqing Teachers Coll., Anqing, China
Abstract :
Our main aim is to present a new construction of low-density parity-check (LDPC) codes from projective algebraic sets over finite fields,where the sets are the intersection of a one-dimensional hyperplane with one hypersurface of homogeneous polynomial equation in projective n-space. In particular, for 2-dimensional case, the projective algebraic sets are the intersection of a line with one curve, and the parity-check matrices of the LDPC codes are the incidence matrices of the points and lines which we can see in some well-known papers.
Keywords :
parity check codes; polynomial matrices; LDPC code; homogeneous polynomial equation; incidence matrices; low density parity check code; projective algebraic set; Decoding; Galois fields; Geometry; Null space; Parity check codes; Polynomials; Sparse matrices;
Conference_Titel :
Wireless Communications Networking and Mobile Computing (WiCOM), 2010 6th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-3708-5
Electronic_ISBN :
978-1-4244-3709-2
DOI :
10.1109/WICOM.2010.5601310
