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Shoup \'s scheme was improved , and a verifiable threshold RSA signature scheme with verifiable secret sharing was presented .

改进了Shoup的方案，并使用可验证秘密共享技术提出了一种可验证的门限RSA签名方案。

Shoup \'s main research interests and contributions are computer algorithms relating to number theory , algebra , and cryptography .

他的主要研究方向以及贡献是在与数论、代数学以及密码学有关的计算机算法上面。

In 2000 Cramer and Shoup [ 1 ] presented a signature scheme which is secure against adaptive chosen-message attack under the strong RSA assumption and which does not rely on the random oracle model .

2000年Cramer和Shoup[1]提出了一个不依赖于随机预言机模型的数字签名方案，该方案在强RSA假设下可以安全的抵御适应性选择消息攻击。

After introducing basic knowledge of the cryptology , this thesis introduces the famous threshold RSA signature the Shoup ’ s scheme , and summarizes the general problems in existing schemes . Then focus on introducing “ A New RSA Threshold Group Signature Scheme Based on Modified Shamir ’ s Secret Sharing Solution ”, analyzing them in respect of efficiency , and design a distributed trusted center based on the this scheme and the quantitative analysis result , improving the efficiency of distributing sub-kyes process .

在介绍了基本的密码学基础知识后，本文介绍了著名的Shoup门限RSA签名方案，然后重点介绍了一种基于新型秘密共享方法的高效门限RSA签名方案，在效率上进行了分析，并根据该方案的特点和量化分析结果，构造了一个具有分布式可信中心的门限签名系统，大大提高了子密钥分发的效率。

Initially the application of hybrid cryptography is limited to areas from the implementation of efficiency considerations . Until 2000 Cramer and Shoup proposed a KEM-DEM model for hybrid encryption . Since then hybrid cryptography became a general solution to IND-CCA secure and practical public key cryptosystem .

最初混合密码体制的使用仅限于从执行效率方面进行考虑，直到2000年Cramer和Shoup提出了KEM-DEM结构的混合加密体制，使得混合密码体制成为一种解决IND-CCA安全而且实际的公钥密码体制。