Error-Correcting Nonbinary Quantum Codes Based on Algebraic Curves

Venkata chalapathi Uday; Gautam Kumar Rajput

Error-Correcting Nonbinary Quantum Codes Based on Algebraic Curves

Authors

Venkata chalapathi Uday Research Scholar ,Department of Mathematics,Sunrise university, Alwar, Rajasthan
Gautam Kumar Rajput Associate professor,Department of Mathematics, Sunrise University, Alwar,Rajasthan

Keywords:

Algebraic geometric codes; Nonbinary quantum codes

Abstract

For nonbinary quantum error-correcting codes, we present a new explanation and demonstrate a generalized CSS construction. Nonbinary quantum stabilizer codes of various lengths, dimensions, and minimum distances from algebraic curves can be constructed using this method. From a Garcia-Stichtenoth tower of function fields, we also provide polynomial-time constructible asymptotic good nonbinary quantum codes.

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Published

2024-09-06

How to Cite

Venkata chalapathi Uday, & Gautam Kumar Rajput. (2024). Error-Correcting Nonbinary Quantum Codes Based on Algebraic Curves. Journal of Computational Analysis and Applications (JoCAAA), 33(07), 38–45. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/1000