Title : 
Decoding of one-point codes using error evaluator polynomials
         
        
            Author : 
O´Sullivan, M.E.
         
        
            Author_Institution : 
Dept. of Math., Puerto Rico Univ., Mayaguez
         
        
        
            fDate : 
29 Jun-4 Jul 1997
         
        
        
            Abstract : 
The author amends the decoding algorithm developed previously which generalizes the Berlekamp-Massey algorithm to a broad class of algebraic geometry codes called one-point codes. The Berlekamp-Massey algorithm and its generalization both produce a set of error locator polynomials which are then used to find the positions where the errors occurred. In the case of Reed-Solomon codes, the algorithm may be modified to also calculate an error evaluator polynomial
         
        
            Keywords : 
Reed-Solomon codes; algebraic geometric codes; decoding; polynomials; Berlekamp-Massey algorithm; Reed Solomon code; algebraic geometry codes; decoding; error evaluator polynomials; error locator polynomials; one-point codes; Application software; Computer errors; Decoding; Equations; Fourier transforms; Geometry; Hardware; Mathematics; Polynomials; Reed-Solomon codes;
         
        
        
        
            Conference_Titel : 
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
         
        
            Conference_Location : 
Ulm
         
        
            Print_ISBN : 
0-7803-3956-8
         
        
        
            DOI : 
10.1109/ISIT.1997.613314