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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.
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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.
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Group-based cryptography Alexei Myasnikov, Vladimir Shpilrain, Alexander Ushakov.
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Basel, Birkhäuser, 2008
ISBN 10: 3764388269
ISBN 13: 9783764388263
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Group-based cryptography Alexei Myasnikov, Vladimir Shpilrain, Alexander Ushakov.
Publicado por
Basel, Birkhäuser, 2008
ISBN 10: 3764388269
ISBN 13: 9783764388263
Antiguo o usado
Softcover
Librería: Antiquariat Bookfarm, Löbnitz, Alemania
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 94 MYA 9783764388263 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2502169
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Group-based Cryptography
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Group-based Cryptography
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GROUP-BASED CRYPTOGRAPHY (ADVANCED COURSES IN MATHEMATICS - CRM BARCELONA)
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Group-based Cryptography
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Group-based Cryptography
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Springer, Basel, Birkhäuser Basel, Birkhäuser Jul 2008, 2008
ISBN 10: 3764388269
ISBN 13: 9783764388263
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 183 pp. Englisch. Nº de ref. del artículo: 9783764388263
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Group-based Cryptography (Advanced Courses in Mathematics - CRM Barcelona)
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Group-Based Cryptography (Pb)
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Group-based Cryptography
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783764388263
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