%0 Journal Article
%T On $[[n,n-4,3]]_{q}$ Quantum MDS Codes for odd prime power $q$
%A Ruihu Li
%A Zongben Xu
%J Mathematics
%D 2009
%I arXiv
%R 10.1103/PhysRevA.82.052316
%X For each odd prime power $q$, let $4 \leq n\leq q^{2}+1$. Hermitian self-orthogonal $[n,2,n-1]$ codes over $GF(q^{2})$ with dual distance three are constructed by using finite field theory. Hence, $[[n,n-4,3]]_{q}$ quantum MDS codes for $4 \leq n\leq q^{2}+1$ are obtained.
%U http://arxiv.org/abs/0906.2509v1