%0 Journal Article
%T Generalized Extended Hamming Codes over Galois Ring of Characteristic $2^{n}$
%A Muhammad Ilyas
%A Mieko Yamada
%J Computer Science
%D 2013
%I arXiv
%X In this paper, we introduce generalized extended Hamming codes over Galois rings $GR(2^n,m)$ of characteristic $2^n$ with extension degree $m$. Furthermore we prove that the minimum Hamming weight of generalized extended Hamming codes over $GR(2^n,m)$ is 4 and the minimum Lee weight of generalized extended Hamming codes over $GR(8,m)$ is 6 for all $m \geq 3$.
%U http://arxiv.org/abs/1310.5225v1