Cyclic codes of length n = 2e over the ring R4 = Z4[x]/(xn - 1) are studied. A linear code C of length n over Z4 is considered to be an additive submodule of the Z 4-module Zn 4. A cyclic code of length n over Z4 is considered as an ideal in the ring R4 = Z 4[x]/xn - 1. It is observed that the Hamming weight of a vector a ∈ Zn 4 is the number of non-zero components in the vector.
|Number of pages||1|
|Journal||IEEE International Symposium on Information Theory - Proceedings|
|Publication status||Published - 2004|
ASJC Scopus subject areas
- Electrical and Electronic Engineering