Quantum codes from a new construction of self-orthogonal algebraic geometry codes

07/12/2019

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by   Fernando Hernando, et al.

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We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes, which greatly extends the class of a previous paper due to Munuera, Tenório and Torres. These results demonstrate that there is a lot more scope for constructing self-orthogonal AG codes than was previously known.