论文标题
代数几何代码和某些应用
Algebraic geometry codes and some applications
论文作者
论文摘要
本文调查了自70年代后期发现以来代数几何代码理论的发展。我们总结了有关各种问题的主要结果，例如：渐近参数，最小距离的估计得到了改善以及解码算法。此外，我们介绍了这些代码的各种现代应用，例如公钥加密，代数复杂性理论，多方计算或分布式存储。
This article surveys the development of the theory of algebraic geometry codes since their discovery in the late 70's. We summarize the major results on various problems such as: asymptotic parameters, improved estimates on the minimum distance, and decoding algorithms. In addition, we present various modern applications of these codes such as public-key cryptography, algebraic complexity theory, multiparty computation or distributed storage.
