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arxiv: 1803.07927 · v1 · pith:4JYDQ4OGnew · submitted 2018-03-20 · 💻 cs.IT · math.IT

New Quantum MDS codes constructed from Constacyclic codes

classification 💻 cs.IT math.IT
keywords codesquantumconstacyclicavailableclassconstructconstructedconstruction
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Quantum maximum-distance-separable (MDS) codes are an important class of quantum codes. In this paper, using constacyclic codes and Hermitain construction, we construct some new quantum MDS codes of the form $q=2am+t$, $n=\frac{q^{2}+1}{a}$. Most of these quantum MDS codes are new in the sense that their parameters are not covered be the codes available in the literature.

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