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

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Authors Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio JosΓ© Moyano-FernΓ‘ndez arXiv ID 1907.05645 Category math.AG Cross-listed cs.IT Citations 23 Venue Quantum Information Processing Last Checked 3 months ago
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, TenΓ³rio 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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