This book presents the mathematical background underlying security modeling in the context of next-generation cryptography.
By introducing new mathematical results in order to strengthen information security, while simultaneously presenting fresh
insights and developing the respective areas of mathematics, it is the first-ever book to focus on areas that have not yet
been fully exploited for cryptographic applications such as representation theory and mathematical physics, among others.
Recent advances in cryptanalysis, brought about in particular by quantum computation and physical attacks on cryptographic
devices, such as side-channel analysis or power analysis, have revealed the growing security risks for state-of-the-art cryptographic
schemes. To address these risks, high-performance, next-generation cryptosystems must be studied, which requires the further
development of the mathematical background of modern cryptography. More specifically, in order to avoid the security risks
posed by adversaries with advanced attack capabilities, cryptosystems must be upgraded, which in turn relies on a wide range
of mathematical theories. This book is suitable for use in an advanced graduate course in mathematical cryptography, while
also offering a valuable reference guide for experts.