New Quantum MDS Codes From Negacyclic Codes

@article{Kai2013NewQM,
  title={New Quantum MDS Codes From Negacyclic Codes},
  author={Xiaoshan Kai and Shixin Zhu},
  journal={IEEE Transactions on Information Theory},
  year={2013},
  volume={59},
  pages={1193-1197}
}
Let <i>q</i> be an odd prime power. Based on classical negacyclic codes, we construct two classes of quantum maximum-distance-separable (MDS) codes with parameters [[<i>q</i><sup>2</sup>+1, <i>q</i><sup>2</sup>-2<i>d</i>+3, <i>d</i>]]<i>q</i> where <i>q</i> ≡ 1 (mod 4) and 2 ≤ <i>d</i> ≤ <i>q</i>+1 is even, and [[(<i>q</i><sup>2</sup>+1)/2,(<i>q</i><sup>2</sup>+1)/2-2<i>d</i>+2,<i>d</i>]]<i>q</i> where 3 ≤ <i>d</i> ≤ <i>q</i> is odd. Some of these quantum MDS codes are new in the sense that… CONTINUE READING
Highly Influential
This paper has highly influenced 10 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 30 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 24 references

Graphical nonbinary quantum error-correcting codes

  • D. Hu, W. Tang, M. Zhao, Q. Chen, S. Yu, C. H. Oh
  • Phys. Rev. A, vol. 78, pp. 012306-1–012306-11…
  • 2008

Similar Papers

Loading similar papers…