Title : 
On the polynomial description of concatenated codes
         
        
        
            Author_Institution : 
Dept. of Electr. Eng., Linkoping Univ., Sweden
         
        
        
        
        
        
            Abstract : 
In 1986 H. Brandstrom described concatenated codes using polynomials in two indeterminates. The author discusses concatenated codes using this idea with some modifications. He describes the code as a principal idea in a quotient ring. By doing so, the author shows the differences and similarities between product codes and concatenated codes and why concatenated codes are much better than product codes. The concatenated codes considered consist of cyclic inner and outer codes. Typically, the outer code is an RS (Reed-Solomon) code and the inner code is a BCH (Bose-Chaudhuri-Hocquenguem) code. The codes for the product codes are also cyclic and typically BCH-codes
         
        
            Keywords : 
codes; polynomials; BCH; Bose Chaudhuri Hocquenguem; Reed Solomon code; concatenated codes; cyclic codes; indeterminates; polynomial description; product codes; quotient ring; Concatenated codes; Galois fields; Polynomials; Product codes;
         
        
        
        
            Conference_Titel : 
Electrotechnics, 1988. Conference Proceedings on Area Communication, EUROCON 88., 8th European Conference on
         
        
            Conference_Location : 
Stockholm
         
        
        
            DOI : 
10.1109/EURCON.1988.11130