Improved Constructions of Nested Code Pairs

@article{Galindo2018ImprovedCO,
  title={Improved Constructions of Nested Code Pairs},
  author={C. Galindo and O. Geil and F. Hernando and D. Ruano},
  journal={IEEE Transactions on Information Theory},
  year={2018},
  volume={64},
  pages={2444-2459}
}
  • C. Galindo, O. Geil, +1 author D. Ruano
  • Published 2018
  • Mathematics, Computer Science
  • IEEE Transactions on Information Theory
  • Two new constructions of linear code pairs <inline-formula> <tex-math notation="LaTeX">$C_{2} \subset C_{1}$ </tex-math></inline-formula> are given for which the codimension and the relative minimum distances <inline-formula> <tex-math notation="LaTeX">$M_{1}(C_{1},C_{2})$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$M_{1}(C_{\vphantom {R_{j}}2}^\perp,C_{1}^\perp)$ </tex-math></inline-formula> are good. By this, we mean that for any two out of the three… CONTINUE READING
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    References

    SHOWING 1-10 OF 72 REFERENCES
    Simple quantum error-correcting codes.
    • Steane
    • Physics, Medicine
    • Physical review. A, Atomic, molecular, and optical physics
    • 1996
    • 329
    • PDF
    Xing–Ling codes, duals of their subcodes, and good asymmetric quantum codes
    • 7
    • PDF
    Codes for simultaneous transmission of quantum and classical information
    • 15
    • PDF
    On the order bounds for one-point AG codes
    • 37
    • PDF
    Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement
    • 25
    • PDF
    Asymmetric quantum Reed-Solomon and generalized Reed-Solomon codes
    • 28
    Asymmetric quantum codes: new codes from old
    • 27
    • PDF
    CSS-Like Constructions of Asymmetric Quantum Codes
    • 36
    • PDF