Algebraic Cryptanalysis - Hardcover

Bard, Gregory

 
9780387887562: Algebraic Cryptanalysis

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

The cipher Keeloq, used in nearly all automobiles with remote key-less entry, is described as a running example, including the manipulation of the equations to enable their solution. The stream cipher Trivium, along with its variants Bivium-A and Bivium-B, and the stream cipher family QUAD are also analyzed as extensive examples, including summaries of several published attacks.

Additional 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 particularly suitable for researchers in Applied Abstract Algebra or Algebraic Geometry who wish to find more applied topics, practitioners working for security and communications companies, or intelligence agencies.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781489984500: Algebraic Cryptanalysis

Featured Edition

ISBN 10:  148998450X ISBN 13:  9781489984500
Publisher: Springer, 2014
Softcover