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arXiv · 0906.2509

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

Ruihu Li·Zongben Xu
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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.

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Ruihu Li, Zongben Xu. 2009-06-14. On $[[n,n-4,3]]_{q}$ Quantum MDS Codes for odd prime power $q$. https://doi.org/10.1103/physreva.82.052316

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