Computational Number Theory and Modern Cryptography

The only book to provide a unified view of the interplay between
computational number theory and cryptography

Computational number theory and modern cryptography are two of
the most important and fundamental research fields in information
security. In this book, Song Y. Yang combines knowledge of these
two critical fields, providing a unified view of the relationships
between computational number theory and cryptography. The author
takes an innovative approach, presenting mathematical ideas first,
thereupon treating cryptography as an immediate application of the
mathematical concepts. The book also presents topics from number
theory, which are relevant for applications in public-key
cryptography, as well as modern topics, such as coding and lattice
based cryptography for post-quantum cryptography. The author
further covers the current research and applications for common
cryptographic algorithms, describing the mathematical problems
behind these applications in a manner accessible to computer
scientists and engineers.

* Makes mathematical problems accessible to computer scientists
and engineers by showing their immediate application

* Presents topics from number theory relevant for public-key
cryptography applications

* Covers modern topics such as coding and lattice based
cryptography for post-quantum cryptography

* Starts with the basics, then goes into applications and areas
of active research

* Geared at a global audience; classroom tested in North America,
Europe, and Asia

* Incudes exercises in every chapter

* Instructor resources available on the book's Companion
Website

Computational Number Theory and Modern Cryptography is
ideal for graduate and advanced undergraduate students in
computer science, communications engineering, cryptography and
mathematics. Computer scientists, practicing cryptographers, and
other professionals involved in various security schemes will also
find this book to be a helpful reference.