New Quantum MDS Codes From Negacyclic Codes

Let q be an odd prime power. Based on classical negacyclic codes, we construct two classes of quantum maximum-distance-separable (MDS) codes with parameters [[ q 2 +1, q 2 -2 d +3, d ]] q where q ≡ 1 (mod 4) and 2 ≤ d ≤ q +1 is even, and [[( q 2 +1)/2,( q 2 +1)/2-2 d +2, d ]] q where 3 ≤ d ≤ q is od...

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Veröffentlicht in:	IEEE transactions on information theory 2013-02, Vol.59 (2), p.1193-1197
Hauptverfasser:	Kai, Xiaoshan, Zhu, Shixin
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Cyclotomic cosets Educational institutions Error correction & detection Error correction codes Exact sciences and technology Information theory Information, signal and communications theory Linear code negacyclic codes Polynomials quantum maximum-distance-separable (MDS) codes Quantum mechanics Quantum physics Telecommunications and information theory
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