Group-Based Cryptography

Name: Group-Based Cryptography
Price: 27.53 USD
Availability: InStock
ISBN: 9783764388263

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.

Book details

List price: $49.95
Copyright year: 2008
Publisher: Springer Basel AG
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


Bibliography


Abbreviations and Notation


Index