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.

翻译：本文研究了一些与特定极大曲线相关的代数几何码。通过此类纠错码中Hermite码的自正交性获得的量子稳定子码并不总能具有良好参数。然而，适当参数下发现Hermite自正交码的量子稳定子码具有良好参数。因此，我们对某个极大曲线上的量子稳定子码进行了研究并修正了其参数。代数几何码在实现噪声电力线通信信道上的高数据速率传输方面展现出潜力。