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

**Authors:** Fernando Hernando, Gary McGuire, Francisco Monserrat, Julio Jos\'e, Moyano-Fern\'andez

arXiv: 1907.05645 · 2025-01-17

## TL;DR

This paper introduces a novel method for constructing quantum codes using self-orthogonal algebraic geometry codes, expanding the range of applicable curves and improving code parameters.

## Contribution

It presents a new construction technique for quantum codes from a broader class of algebraic curves, enhancing previous methods and demonstrating increased potential for code development.

## Key findings

- New quantum codes with improved parameters
- Broader class of algebraic curves used in code construction
- Extended scope of self-orthogonal AG codes

## 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.

## Full text

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## Figures

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## References

42 references — full list in the complete paper: https://tomesphere.com/paper/1907.05645/full.md

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Source: https://tomesphere.com/paper/1907.05645