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Group-Based Cryptography
Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander
€ 61.37
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Description for Group-Based Cryptography
Paperback. Covering relations between three different areas of mathematics and theoretical computer science, this book explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. Series: Advanced Courses in Mathematics - CRM Barcelona. Num Pages: 198 pages, biography. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 242 x 172 x 17. Weight in Grams: 494.
This book is about relations between three di?erent areas of mathematics and theoreticalcomputer science: combinatorialgroup theory, cryptography,and c- plexity theory. We explorehownon-commutative(in?nite) groups,which arety- callystudiedincombinatorialgrouptheory,canbeusedinpublickeycryptography. We also show that there is a remarkable feedback from cryptography to com- natorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research - enues within group theory. Then, we employ complexity theory, notably generic case complexity of algorithms,for cryptanalysisof various cryptographicprotocols based on in?nite groups. We also use the ideas and machinery from the theory of generic case complexity to ... Read more
This book is about relations between three di?erent areas of mathematics and theoreticalcomputer science: combinatorialgroup theory, cryptography,and c- plexity theory. We explorehownon-commutative(in?nite) groups,which arety- callystudiedincombinatorialgrouptheory,canbeusedinpublickeycryptography. We also show that there is a remarkable feedback from cryptography to com- natorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research - enues within group theory. Then, we employ complexity theory, notably generic case complexity of algorithms,for cryptanalysisof various cryptographicprotocols based on in?nite groups. We also use the ideas and machinery from the theory of generic case complexity to ... Read more
Product Details
Format
Paperback
Publication date
2008
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
198
Condition
New
Series
Advanced Courses in Mathematics - CRM Barcelona
Number of Pages
183
Place of Publication
Basel, Switzerland
ISBN
9783764388263
SKU
V9783764388263
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Group-Based Cryptography
From the reviews: “The book at hand has the aim to introduce the reader into the rich world of group-based asymmetric encryption. … The basics necessary for the understanding are given in introducing chapters. Many hints for further reading are given. So, the book might be useful for the beginner, who wants to get a clear introduction, as well ... Read more