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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.
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.
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