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：本文研究了几何代数中与某些极大曲线相关的码。通过自正交厄米码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，厄米自正交量子稳定子码具备优良参数。因此，我们研究了特定极大曲线上的量子稳定子码并优化了其参数。代数几何码在噪声电力线通信信道中实现高速数据传输方面展现出潜力。