Algebraic Aspects of Cryptography

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sharing, frameproof codes, and broadcast encryption. Suitable for researchers and graduate students in mathematics and computer science, this self-contained book is one of the first to focus on many topics in cryptography involving algebraic curves. After supplying the necessary background on algebraic curves, the authors discuss error-correcting codes, including algebraic geometry codes, and provide an int...

Exploring the practical aspects of atmospheric optical communication and light detection and ranging (LIDAR), Applied Aspects of Optical Communication and LIDAR details the role of atmospheric structures in propagation phenomena that influence the transmission of optical signals through perturbed atmospheric communication channels. It examines numerous situations in over-the-terrain atmospheric communication channels, including the effects of natural phenomena and the corresponding features (turbulences and hydrometeors) on optical ray propagation. Bridging the gap between the parameters of optical communication links and signal information data streams, this concise reference addresses line-of-sight (LOS) as well as obstructive non-line-of-sight (N...

This book provides a comprehensive overview of the mathematical aspects of quantum computing. It will be useful for graduate students and researchers interested in quantum computing from different areas of physics, mathematics, informatics and computer science. The lecture notes in this volume are written in a self-contained style, and hence are accessible for graduate students and researchers with even less background in the topics....