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Computer Science - Security and Cryptology | Algebraic Cryptanalysis

Algebraic Cryptanalysis

Bard, Gregory

2009, XXXIII, 356 p.

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  • One of the first books to cover SAT-solvers and how they can be used in cryptanalysis; there are also chapters on finite field linear algebra and the cipher Keeloq
  • Excellent guide for advanced-level students, researchers and practitioners entering the algebraic cryptanalysis field
  • Bridges the gap between a course in cryptography and being able to read the cryptanalytic literature, among academics and industry practitioners

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.

Content Level » Professional/practitioner

Keywords » Abstract algebra - Matrix - algebraic - cipher Keeloq - computer science - cryptanalysis - cryptoanalysis - cryptography - currentjm - linear algebra - polynomial systems - security

Related subjects » Algebra - Security and Cryptology

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