Title : 
Design of LDPC Codes over GF(q) Based on Filling with Circulant Matrices
         
        
            Author : 
He, Huan ; Xia, Dan ; Xu, Youyun ; Cai, Yueming
         
        
            Author_Institution : 
Dept. of Wireless Commun., Inst. of Commun. Eng. PLAUST, Nanjing
         
        
        
        
        
        
            Abstract : 
This paper introduced a construction for LDPC codes over GF(q) based on filling with circulant matrices. After expanded the cycles in the check matrix by filling circulant matrices, the error-correcting performance of the codes can be improved with a low constructing complexity. The simulation results shows that the codes constructed can achieve better error-correcting performance.
         
        
            Keywords : 
Galois fields; error correction codes; matrix algebra; parity check codes; Galois field; LDPC codes; check matrix; circulant matrices; error-correcting performance; low density parity check code; Algorithm design and analysis; Decoding; Design engineering; Fast Fourier transforms; Filling; Helium; Message passing; Parity check codes; Sum product algorithm; Wireless communication;
         
        
        
        
            Conference_Titel : 
Wireless Communications, Networking and Mobile Computing, 2008. WiCOM '08. 4th International Conference on
         
        
            Conference_Location : 
Dalian
         
        
            Print_ISBN : 
978-1-4244-2107-7
         
        
            Electronic_ISBN : 
978-1-4244-2108-4
         
        
        
            DOI : 
10.1109/WiCom.2008.353