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：本文研究了与某些最大曲线相关的代数几何码。通过这类纠错码中埃尔米特码的自正交性所获得的量子稳定子码，并非总是具有良好参数。然而，适当参数表明，埃尔米特自正交码对应的量子稳定子码具有良好参数。因此，我们研究了特定最大曲线上的量子稳定子码，并对其参数进行了修正。代数几何码在实现噪声电力线通信信道上的高数据传输速率方面展现出应用前景。