This open access book systematically explores the statistical characteristics of cryptographic systems, the computational complexity theory of cryptographic algorithms and the mathematical principles behind various encryption and decryption algorithms.
Zhiyong Zheng is Dean of School of Mathematics, Renmin University of China. He got Ph.D from Shandong University in 1991 and was awarded as Distinguished Paper Award (ICCM 2018), Qiu Shi Outstanding Young Scholar Award (1997), Distinguished Young Scholars (NSF, 1996). His research areas include Diophantine approximation, character sum, cryptography.
Chapter 1. Preparatory knowledge.- Chapter 2. The basis of code theory.- Chapter 3. Shannon theory.- Chapter 4. Cryptosystem and authentication system.- Chapter 5. Prime test.- Chapter 6. Elliptic curve.- Chapter 7. Lattice-based cryptography.