Title : 
Asymptotic performances of woven graph codes
         
        
            Author : 
Bocharova, Irina ; Kudryashov, Boris ; Johannesson, Rolf ; Zyablov, Victor
         
        
            Author_Institution : 
Dept. of Inf. Syst., Univ. of Inf. Techn. Mech. & Opt., St. Petersburg
         
        
        
        
        
        
            Abstract : 
Constructions of woven graph codes based on constituent block and convolutional codes are studied. It is shown that within the random ensemble of such codes based on s-partite, s-uniform hypergraphs, where s depends only on the code rate, there exist codes satisfying the Varshamov-Gilbert (VG) and the Costello lower bound on the minimum distance and the free distance, respectively.
         
        
            Keywords : 
block codes; convolutional codes; graph theory; random codes; Costello lower bound; Varshamov-Gilbert lower bound; Woven graph codes; block codes; code rate; convolutional codes; random codes; s-partite; s-uniform hypergraphs; Bipartite graph; Block codes; Concatenated codes; Convolutional codes; Encoding; H infinity control; Interleaved codes; Iterative decoding; Parity check codes; Turbo codes; Graphs; LDPC codes; convolutional codes; girth; graph codes; hypergraphs; tailbiting codes; woven codes;
         
        
        
        
            Conference_Titel : 
Information Theory, 2008. ISIT 2008. IEEE International Symposium on
         
        
            Conference_Location : 
Toronto, ON
         
        
            Print_ISBN : 
978-1-4244-2256-2
         
        
            Electronic_ISBN : 
978-1-4244-2257-9
         
        
        
            DOI : 
10.1109/ISIT.2008.4595142