Title : 
There is No Self-Dual 
  
 -Linear Code Whose Gray Image Has the Parameters 
  
 
        
            Author : 
Kiermaier, Michael
         
        
            Author_Institution : 
Dept. of Math., Univ. of Bayreuth, Bayreuth, Germany
         
        
        
        
        
        
        
        
            Abstract : 
It is shown that there is no self-dual BBZ4-linear code whose Gray image has the parameters (72,236,16).
         
        
            Keywords : 
Hamming codes; binary codes; dual codes; error correction codes; linear codes; BBZ4-linear code; Gray map; error-correcting code; gray image; minimum Hamming distance; self-dual linear code; Binary codes; Educational institutions; Hamming weight; Linear code; Vectors; $ BBZ _{4}$-linear code; Error-correcting code; Gray map; extremal code; self-dual code;
         
        
        
            Journal_Title : 
Information Theory, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TIT.2013.2246816