Title : 
On q-ary Grey-Rankin bound and codes meeting this bound
         
        
            Author : 
Dodunekov, Stefan ; Helleseth, Tor ; Zinoviev, Victor
         
        
            Author_Institution : 
Inst. of Math. & Informatics, Bulgarian Acad. of Sci., Sofia, Bulgaria
         
        
        
            fDate : 
27 June-2 July 2004
         
        
        
            Abstract : 
We consider the q-ary analog of the binary Grey-Rankin bound, recently suggested by Fu, Kloeve and Shen. For any prime power q≥2, we give an infinite family of codes which reach this bound with equality. If the outer and inner codes are chosen as linear, a linear resulting code is obtained by the concatenation construction.
         
        
            Keywords : 
concatenated codes; linear codes; polynomials; concatenation construction; infinite family codes; linear resulting code; prime power; q-ary Grey-Rankin bound; Concatenated codes; Contracts; Councils; Hamming distance; Informatics; Mathematics;
         
        
        
        
            Conference_Titel : 
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
         
        
            Print_ISBN : 
0-7803-8280-3
         
        
        
            DOI : 
10.1109/ISIT.2004.1365564