Group-based Cryptography (Advanced Courses in Mathematics - CRM Barcelona) - Tapa blanda

Myasnikov, Alexei

 
9783764388263: Group-based Cryptography (Advanced Courses in Mathematics - CRM Barcelona)
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ISBN 10: 3764388269 ISBN 13: 9783764388263
Editorial: Birkhäuser Basel, 2008

Sinopsis

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. It is also shown that there is a remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research avenues within group theory. Then, complexity theory, notably generic-case complexity of algorithms, is employed for cryptanalysis of various cryptographic protocols based on infinite groups, and the ideas and machinery from the theory of generic-case complexity are used to study asymptotically dominant properties of some infinite groups that have been applied in public key cryptography so far. Its elementary exposition makes the book accessible to graduate as well as undergraduate students in mathematics or computer science.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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. It is also shown that there is a remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research avenues within group theory.

Then, complexity theory, notably generic-case complexity of algorithms, is employed for cryptanalysis of various cryptographic protocols based on infinite groups, and the ideas and machinery from the theory of generic-case complexity are used to study asymptotically dominant properties of some infinite groups that have been applied in public key cryptography so far.

Its elementary exposition makes the book accessible to graduate as well as undergraduate students in mathematics or computer science.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser Basel
Año de publicación
2008
Idioma
Inglés
ISBN 10 
3764388269
ISBN 13 
9783764388263
Encuadernación
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Número de páginas
204
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783764398477: Group-based Cryptography

Edición Destacada

ISBN 10:  3764398477 ISBN 13:  9783764398477
Editorial: Springer, 2009
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