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Group-Based Cryptography

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ISBN-10: 3764388269

ISBN-13: 9783764388263

Edition: 2008

Authors: Vladimir Shpilrain, Alexander Ushakov, Alexei Myasnikov

List price: $49.95
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This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography.
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Book details

List price: $49.95
Copyright year: 2008
Publisher: Birkh�user Boston
Publication date: 7/17/2008
Binding: Paperback
Pages: 183
Size: 6.50" wide x 9.25" long x 0.50" tall
Weight: 1.100
Language: English

Background on Groups, Complexity, and Cryptography
Background on Public Key Cryptography
Background on Combinatorial Group Theory
Background on Computational Complexity
Non-commutative Cryptography
Canonical Non-commutative Cryptography
Platform Groups
Using Decision Problems in Public Key Cryptography
Generic Complexity and Cryptanalysis
Distributional Problems and the Average Case Complexity
Generic Case Complexity
Generic Complexity of NP-complete Problems
Asymptotically Dominant Properties and Cryptanalysis
Asymptotically Dominant Properties
Length-Based and Quotient Attacks
Abbreviations and Notation