Quantum codes from a new construction of self-orthogonal algebraic geometry codes
July 12, 2019 Β· Declared Dead Β· π Quantum Information Processing
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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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