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Goppa Codes: Key to High Efficiency and Reliability in Communications
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In this paper, we study some codes of algebraic geometry related to certain maximal curves. Quantum stabilizer codes obtained through the self orthogonality of Hermitian codes of this error correcting do not always have good parameters. However, appropriate parameters found that the Hermitian self-orthogonal code quantum stabilizer code has good parameters. Therefore, we investigated the quantum stabilizer code at a certain maximum curve and modified its parameters. Algebraic geometry codes show promise for enabling high data rate transmission over noisy power line communication channels.
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Cited by 2 Pith papers
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Reinforcement Learning Enhanced Greedy Decoding for Quantum Stabilizer Codes over $\mathbb{F}_q$
A claimed [[27,13,4]]_3 qutrit code from separated-polynomial curves and an RL-on-Greedy decoder are presented, but internal math inconsistencies and missing simulation data undermine the claims.
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Quantum Error Correction with Goppa Codes from Maximal Curves: Design, Simulation, and Performance
The proposed quantum Goppa codes from maximal curves are not supported because the divisor degrees, dimension formulas, and parameter ranges in the paper contradict each other.
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