On $[[n,n-4,3]]_{q}$ Quantum MDS Codes for odd prime power $q$

Details On $[[n,n-4,3]]_{q}$ Quantum MDS Codes for odd prime power $q$ On $[[n,n-4,3]]_{q}$ Quantum MDS Codes for odd prime power $q$

2009-06-14

arxiv.org/abs/0906.2509v1

Computer Science

Information Theory

7 pages, submitted to IEEE Trans. Inf. Theory

Scientific paper

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.

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