Quantum Stabilizer Codes from Maximal Curves
arXiv:1311.2705 · doi:10.1109/TIT.2013.2287694
Abstract
A curve attaining the Hasse-Weil bound is called a maximal curve. Usually classical error-correcting codes obtained from a maximal curve have good parameters. However, the quantum stabilizer codes obtained from such classical error-correcting codes via Euclidean or Hermitian self-orthogonality do not always possess good parameters. In this paper, the Hermitian self-orthogonality of algebraic geometry codes obtained from two maximal curves is investigated. It turns out that the stabilizer quantum codes produced from such Hermitian self-orthogonal classical codes have good parameters.
Cited by in corpus (6)
- Quantum error-correcting codes from Algebraic Geometry codes of Castle type
- New Convolutional Codes Derived from Algebraic Geometry Codes
- Near MDS and near quantum MDS codes via orthogonal arrays
- Good and asymptotically good quantum codes derived from algebraic geometry codes
- New families of quantum stabilizer codes from Hermitian self-orthogonal algebraic geometry codes
- Explicit constructions of optimal linear codes with Hermitian hulls and their application to quantum codes