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arXiv · 1907.05645

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

Fernando Hernando·Gary McGuire·Francisco Monserrat·Julio José Moyano-Fernández
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Abstract

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, Ten\'orio and Torres. These results demonstrate that there is a lot more scope for constructing self-orthogonal AG codes than was previously known.

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Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio José Moyano-Fernández. 2019-07-12. Quantum codes from a new construction of self-orthogonal algebraic geometry codes. https://doi.org/10.1007/s11128-020-2616-8

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