This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of \""ambiguity\"" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and\n\nModern Cryptography Volume 2\nA Classical Introduction to Informational and Mathematical Principle\nFree UK delivery on this item.\n\nThis brand new item is available with free UK delivery using;