Title : 
An erasures-and-errors decoding algorithm for Goppa codes (Corresp.)
         
        
            Author : 
Sugiyama, Yasuo ; Kasahara, Masao ; Hirasawa, Shigeichi ; Namekawa, Toshihiko
         
        
        
        
        
            fDate : 
3/1/1976 12:00:00 AM
         
        
        
        
            Abstract : 
An erasures-and-errors decoding algorithm for Goppa codes is presented. Given the Goppa polynomial and the modified syndrome polynomial, a modified key equation is solved using Euclid´s algorithm to determine the error locator polynomial and the errata evaluator polynomial.
         
        
            Keywords : 
Decoding; Goppa codes; Communication equipment; Decoding; Equations; Error correction; Linear code; Polynomials;
         
        
        
            Journal_Title : 
Information Theory, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TIT.1976.1055517