摘要： 量子计算的快速发展对当前普遍应用的公钥密码造成了严重威胁，抗量子计算的密码研究成为当前密码学术研究和标准化的热点问题。多变量密码作为抗量子密码的优秀候选方案受到了广泛的关注。介绍了当前多变量密码的基本原理，综述了其国内外研究进展，分析对比了几种典型的陷门构造技术和攻击技术，最后指出了当前研究存在的问题。

中图分类号： TP309
文献标识码： A
DOI： 10.19358/j.issn.2096-5133.2021.08.001
引用格式： 韩益亮。 多变量公钥密码进展[J].信息技术与网络安全，2021，40（8）：1-8，16.

Advances in multivariate public-key cryptosystem

Abstract： The rapid development of quantum computing has posed a serious threat to the widely used public key cryptosystem. The cryptology research against quantum computing has become a hot issue in the current cryptography academic research and standardization. As an excellent candidate for anti-quantum cryptography, multivariate cryptosystem has attracted extensive attention. In this paper, the basic principles of multivariate cryptosystem are introduced, the research progress of multivariate cryptosystem is reviewed, several typical trapdoor construction techniques and attack techniques are analyzed and compared, and the existing problems in current research are pointed out.

Key words : multivariate cryptosystem；quantum computing；anti-quantum cryptography