New Directions of Modern Cryptography

Zhenfu Cao is with Shanghai Jiao Tong University, P.R. of China

• Introduction. Trust Problem. Ciphertext Access Control Problem. Efficiency Problems in Multi-Message Cryptology. The Challenges from Quantum and Biological Computing. Organization. Proxy Re-Cryptography. Introduction. Proxy Re-Signature. Proxy Re-Encryption. Attribute-Based Cryptography. Universal Definitions. Bounded Ciphertext-Policy Encryption Schemes. Multi-Authority Encryption Schemes. Interval Encryption Schemes. Fuzzy Identity-Based Signature Schemes. Batch Cryptography. Aggregate Signature and Batch Verification. Batch Decryption and Batch Key Agreement. Batch RSA's Implementation Based on Diophantine Equations. Solving the Diophantine Equations. Noncommutative Cryptography. Braid-Based Cryptography. Z-Modular Method. Using Monomials in Z-Modular Method. Improved Key Exchange over Thompson's Group. Perspectives. Appendices. Appendix A. Appendix B. Appendix C.