string space model;  certification testing;  TLS protocol;  hash function;  Test component

The authentication test method based on the string space model has certain limitations in analyzing the security of the protocol, and can only analyze a limited number of protocols. Therefore, the authentication test method based on the string space model is extended, the method is improved by modifying the test components and authentication test rules, and the TLS protocol using signature and hash functions is analyzed by the extended authentication test method, and the scope of use of the authentication test method is expanded. And the test of the freshness of the test component is proposed, and the certification test method is further improved.