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

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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… Click to show full 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. These results demonstrate that there is a lot more scope for constructing self-orthogonal AG codes than was previously known.

Keywords: geometry codes; self orthogonal; algebraic geometry; quantum codes; orthogonal algebraic; geometry

Journal Title: Quantum Information Processing
Year Published: 2020

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