Quantum Stabilizer Codes from Maximal Curves

Lingfei Jin

doi:10.1109/tit.2013.2287694

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arXiv · 1311.2705

Quantum Stabilizer Codes from Maximal Curves

Lingfei Jin

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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.

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Lingfei Jin. 2013-11-12. Quantum Stabilizer Codes from Maximal Curves. https://doi.org/10.1109/tit.2013.2287694

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