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 a...

While the Chinese urban movement has successfully transferred surplus labor from the countryside to urban industries that urgently require free and cheap labor, numerous problems have arisen as a result of the unprecedented huge-scale process. Such conditions such as overcrowding, substandard housing, lack of social services, corruption, and abuse of power have often reached crisis stage. American college students often ask: How does the government control the largest urban population in t...

This textbook introduces bioinformatics to students in mathematics with no biology background assumed and it provides solid mathematical tools for biology students along with an understanding of how to implement them in bioinformatics problems. In addition to the basics, the text offers new approaches to understanding biological sequences. The concise presentation distinguishes itself from others on the subject, discussing and providing principles that relate to current open problems in bi...