Algebraic Cryptanalysis bridges the gap between a course in
cryptography, and being able to read the cryptanalytic literature.
This book is divided into three parts: Part One covers the process
of turning a cipher into a system of equations; Part Two covers
finite field linear algebra; Part Three covers the solution of
Polynomial Systems of Equations, with a survey of the methods used
in practice, including SAT-solvers and the methods of Nicolas
Courtois. Topics include: Analytic Combinatorics, and its
application to cryptanalysis The equicomplexity of linear algebra
operations Graph coloring Factoring integers via the quadratic
sieve, with its applications to the cryptanalysis of RSA Algebraic
Cryptanalysis is designed for advanced-level students in computer
science and mathematics as a secondary text or reference book for
self-guided study. This book is suitable for researchers in Applied
Abstract Algebra or Algebraic Geometry who wish to find more
applied topics or practitioners working for security and
communications companies.
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