Title :
Vandermonde-cocyclic codes and a suitable DFT
Author :
Kiran, Thakur ; Rajan, B. Sundar
Author_Institution :
Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India
fDate :
27 June-2 July 2004
Abstract :
A new transform is denned for the class of cocyclic group ring codes over a Galois ring, where the underlying group is Abelian and the cocycle is the Vandermonde-cocycle on the Abelian group. The class of Vandermonde-cocyclic (VC) group ring codes are characterized using this new transform by means of a structure theorem for VC group rings.
Keywords :
Galois fields; cyclic codes; discrete Fourier transforms; group codes; Abelian group; DFT; Galois ring; Vandermonde-cocyclic codes; group ring codes; Chromium; Linear code; Virtual colonoscopy;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365294