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Verlag: Birkhauser Verlag AG, Basel, 2008
ISBN 10: 3764388269 ISBN 13: 9783764388263
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In den WarenkorbPaperback. Zustand: new. Paperback. 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,canbeusedinpublickeycry ptography. 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 study asymptotically dominant properties of some in?nite groups that have been used in public key cryptography so far. It turns out that for a relevant cryptographic scheme to be secure, it is essential that keys are selected from a "very small" (relative to the whole group, say) subset rather than from the whole group.Detecting these subsets ("black holes") for a part- ular cryptographic scheme is usually a very challenging problem, but it holds the keyto creatingsecurecryptographicprimitives basedonin?nite non-commutative groups. The book isbased onlecture notesfor the Advanced Courseon Group-Based CryptographyheldattheCRM,BarcelonainMay2007. Itisagreatpleasureforus to thank Manuel Castellet, the HonoraryDirector of the CRM, for supporting the idea of this Advanced Course. We are also grateful to the current CRM Director, JoaquimBruna,and to the friendly CRM sta?,especially Mrs. N. PortetandMrs. N. Hern' andez, for their help in running the Advanced Course and in preparing the lecture notes. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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In den WarenkorbZustand: New. 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. . 2008. Paperback. . . . .
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In den WarenkorbZustand: New. 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. . 2008. Paperback. . . . . Books ship from the US and Ireland.
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In den WarenkorbTaschenbuch. Zustand: 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.
Verlag: American Mathematical Society, 2011
ISBN 10: 0821853600 ISBN 13: 9780821853603
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In den WarenkorbZustand: New. Series: Mathematical Surveys and Monographs. Num Pages: 413 pages, Illustrations. BIC Classification: PBW; URD. Category: (P) Professional & Vocational. Dimension: 254 x 178 x 0. . . 2011. Hardcover. . . . .
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In den WarenkorbZustand: New. Presents an overview of the diversity of trends in computational and statistical group theory. This book presents research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms, quantum automata, and more. Series: Contemporary Mathematics. Num Pages: 124 pages, Illustrations. BIC Classification: PBG; PBK; PBPD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 8. Weight in Grams: 255. . 2002. Paperback. . . . .
Verlag: Birkhauser Verlag AG, Basel, 2008
ISBN 10: 3764388269 ISBN 13: 9783764388263
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In den WarenkorbPaperback. Zustand: new. Paperback. 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,canbeusedinpublickeycry ptography. 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 study asymptotically dominant properties of some in?nite groups that have been used in public key cryptography so far. It turns out that for a relevant cryptographic scheme to be secure, it is essential that keys are selected from a "very small" (relative to the whole group, say) subset rather than from the whole group.Detecting these subsets ("black holes") for a part- ular cryptographic scheme is usually a very challenging problem, but it holds the keyto creatingsecurecryptographicprimitives basedonin?nite non-commutative groups. The book isbased onlecture notesfor the Advanced Courseon Group-Based CryptographyheldattheCRM,BarcelonainMay2007. Itisagreatpleasureforus to thank Manuel Castellet, the HonoraryDirector of the CRM, for supporting the idea of this Advanced Course. We are also grateful to the current CRM Director, JoaquimBruna,and to the friendly CRM sta?,especially Mrs. N. PortetandMrs. N. Hern' andez, for their help in running the Advanced Course and in preparing the lecture notes. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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In den WarenkorbZustand: New. Series: Mathematical Surveys and Monographs. Num Pages: 413 pages, Illustrations. BIC Classification: PBW; URD. Category: (P) Professional & Vocational. Dimension: 254 x 178 x 0. . . 2011. Hardcover. . . . . Books ship from the US and Ireland.
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In den WarenkorbZustand: New. Presents an overview of the diversity of trends in computational and statistical group theory. This book presents research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms, quantum automata, and more. Series: Contemporary Mathematics. Num Pages: 124 pages, Illustrations. BIC Classification: PBG; PBK; PBPD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 8. Weight in Grams: 255. . 2002. Paperback. . . . . Books ship from the US and Ireland.
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ISBN 10: 0821853600 ISBN 13: 9780821853603
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In den WarenkorbHardback. Zustand: New. This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It also shows that there is 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. In particular, a lot of emphasis in the book is put on studying search problems, as compared to decision problems traditionally studied in combinatorial 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. This book also describes new interesting developments in the algorithmic theory of solvable groups and another spectacular new development related to complexity of group-theoretic problems, which is based on the ideas of compressed words and straight-line programs coming from computer science.
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In den WarenkorbZustand: New. KlappentextrnrnExamines the relationship between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups can be use.
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