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On $[[n,n-4,3]]_{q}$ Quantum MDS Codes for odd prime power $q$ (0906.2509v1)
Published 14 Jun 2009 in cs.IT and math.IT
Abstract: 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.