Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
We introduce a generalization to Z2k, of the Gray map and deduce generalized versions of Kerdock and Delsarte-Goethals codes
Keywords :
Galois fields; Gray codes; binary codes; dual codes; linear codes; Delsarte-Goethals codes; Gray map generalisation; Kerdock codes; Z2k-linear codes; Binary codes; Hamming distance; Hamming weight; Information analysis; Information theory; Linear code; Upper bound;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.708743