Title : 
Codes over Mn(F3) with connection to Golden space-time coded modulation
         
        
            Author : 
Sboui, H. ; Bouallegue, A. ; Solé, P.
         
        
            Author_Institution : 
Lab. des Syst. de Commun., Ecole Nat. d´´Ing. de Tunis, Tunis, Tunisia
         
        
        
        
        
        
            Abstract : 
In this paper, we present code constructions over the finite rings M3(F3) and M4(F3). These constructions can be generalized to codes over Mn(F3). We show the relation between these codes and codes over the finite ring Mn(F2). We give an example of codes over Mn(F2) when n = 6. All these outer code assure coding gain and concatenated with Golden code which is the inner code, full diversity is derived.
         
        
            Keywords : 
space-time codes; code construction; coding gain; finite rings; golden space-time coded modulation; inner code; Algebra; Convolutional codes; Encoding; Modulation; Polynomials; Space-time codes; Cyclic Algebras; Golden code; Number and Finite field; Space-time codes over non commutative rings;
         
        
        
        
            Conference_Titel : 
Communications Control and Signal Processing (ISCCSP), 2012 5th International Symposium on
         
        
            Conference_Location : 
Rome
         
        
            Print_ISBN : 
978-1-4673-0274-6
         
        
        
            DOI : 
10.1109/ISCCSP.2012.6217793