来自高维变种的代数几何码
Algebraic geometry codes from higher dimensional varieties
摘要：
本文是关于高维代数簇上的Goppa型码的文献综述。首先描述了用于估计最小距离的构造和几种技术。代码从各种类别的品种，包括埃尔米特超曲面，格拉斯曼，旗品种，直曲面曲线，和Deligne-Lusztig品种被认为是。与理论的复曲面代码和秩序域的连接也简要说明。
英文摘要：
This paper is a general survey of literature on Goppa-type codes from higher dimensional algebraic varieties. The construction and several techniques for estimating the minimum distance are described first. Codes from various classes of varieties, including Hermitian hypersurfaces, Grassmannians, flag varieties, ruled surfaces over curves, and Deligne-Lusztig varieties are considered. Connections with the theories of toric codes and order domains are also briefly indicated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
