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Algebra and computer science : Joint AMS-EMS-SPM Meeting Algebra and Computer Science June 10-13, 2015: Porto, Portugal : Joint Mathematics Meetings Groups, Algorithms, and Cryptography January 10-13, 2015: San Antonio, TX : Joint AMS-Israel Mathematical Union Meeting Applications of Algebra to Cryptography June 16-19, 2014: Tel-Aviv, Israel / / Delaram Kahrobaei, Bren Cavallo, David Garber, editors
Algebra and computer science : Joint AMS-EMS-SPM Meeting Algebra and Computer Science June 10-13, 2015: Porto, Portugal : Joint Mathematics Meetings Groups, Algorithms, and Cryptography January 10-13, 2015: San Antonio, TX : Joint AMS-Israel Mathematical Union Meeting Applications of Algebra to Cryptography June 16-19, 2014: Tel-Aviv, Israel / / Delaram Kahrobaei, Bren Cavallo, David Garber, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2016
Descrizione fisica 1 online resource (242 pages) : illustrations
Disciplina 512.0285
Collana Contemporary Mathematics
Soggetto topico Logic, Symbolic and mathematical
Algebra
Computer science - Mathematics
ISBN 1-4704-3587-X
Classificazione 20-XX68-XX
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Generic properties of subgroups of free groups and finite presentations / Frédérique Bassino, Cyril Nicaud, and Pascal Weil -- A new multi-server scheme for private information retrieval / Chi Sing Chum and Xiaowen Zhang -- On secret sharing protocols / Chi Sing Chum [and 4 others] -- A verifiable secret sharing scheme using non-abelian groups / Maggie E. Habeer -- Non-associative public-key cryptography / Arkadius Kalka -- Non-associative key establishment protocols and their implementation / Arkadius Kalka and Mina Teicher -- Knapsack and subset sum problems in nilpoint, polycyclic, and co-context-free groups / Daniel König, Markus Lohrey, and George Zetzsche -- On the Tits alternative for a class of finitely presented groups with a special focus on symbolic computations / Anja I.S. Moldenhauer, Gerhard Rosenberger, and Kristina Rosenthal -- Geometry of the conjugacy problem in lamplighter groups / Andew Salle -- A logspace solution to the word and conjugacy problem of generalized Baumslag-Solitar groups / Armin Weiss -- Cryptographic hash functions from sequences of lifted Paley graphs / Serena Yuan.
Record Nr. UNINA-9910794869803321
Providence, Rhode Island : , : American Mathematical Society, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebra and computer science : Joint AMS-EMS-SPM Meeting Algebra and Computer Science June 10-13, 2015: Porto, Portugal : Joint Mathematics Meetings Groups, Algorithms, and Cryptography January 10-13, 2015: San Antonio, TX : Joint AMS-Israel Mathematical Union Meeting Applications of Algebra to Cryptography June 16-19, 2014: Tel-Aviv, Israel / / Delaram Kahrobaei, Bren Cavallo, David Garber, editors
Algebra and computer science : Joint AMS-EMS-SPM Meeting Algebra and Computer Science June 10-13, 2015: Porto, Portugal : Joint Mathematics Meetings Groups, Algorithms, and Cryptography January 10-13, 2015: San Antonio, TX : Joint AMS-Israel Mathematical Union Meeting Applications of Algebra to Cryptography June 16-19, 2014: Tel-Aviv, Israel / / Delaram Kahrobaei, Bren Cavallo, David Garber, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2016
Descrizione fisica 1 online resource (242 pages) : illustrations
Disciplina 512.0285
Collana Contemporary Mathematics
Soggetto topico Logic, Symbolic and mathematical
Algebra
Computer science - Mathematics
ISBN 1-4704-3587-X
Classificazione 20-XX68-XX
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Generic properties of subgroups of free groups and finite presentations / Frédérique Bassino, Cyril Nicaud, and Pascal Weil -- A new multi-server scheme for private information retrieval / Chi Sing Chum and Xiaowen Zhang -- On secret sharing protocols / Chi Sing Chum [and 4 others] -- A verifiable secret sharing scheme using non-abelian groups / Maggie E. Habeer -- Non-associative public-key cryptography / Arkadius Kalka -- Non-associative key establishment protocols and their implementation / Arkadius Kalka and Mina Teicher -- Knapsack and subset sum problems in nilpoint, polycyclic, and co-context-free groups / Daniel König, Markus Lohrey, and George Zetzsche -- On the Tits alternative for a class of finitely presented groups with a special focus on symbolic computations / Anja I.S. Moldenhauer, Gerhard Rosenberger, and Kristina Rosenthal -- Geometry of the conjugacy problem in lamplighter groups / Andew Salle -- A logspace solution to the word and conjugacy problem of generalized Baumslag-Solitar groups / Armin Weiss -- Cryptographic hash functions from sequences of lifted Paley graphs / Serena Yuan.
Record Nr. UNINA-9910820796003321
Providence, Rhode Island : , : American Mathematical Society, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2015
Descrizione fisica 1 online resource (123 p.)
Disciplina 652/.8015122
Collana Contemporary Mathematics
Soggetto topico Group theory
Noncommutative algebras
Algorithms
Data encryption (Computer science)
Cryptography
Algebra
ISBN 1-4704-2263-8
Classificazione 20-XX68-XX
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Secret sharing using non-commutative groups and the shortlex order""; ""1. Introduction""; ""2. Formal Definition""; ""3. Shamir�s Secret Sharing Scheme""; ""4. Secret Sharing Using Non-commutative Groups""; ""5. Updating Relators""; ""6. Conclusion""; ""References""; ""An algorithm that decides conjugacy in a certain generalized free product""; ""1. Introduction""; ""2. Preliminaries""; ""3. The Algorithm""; ""References""; ""Classification of automorphic conjugacy classes in the free group on two generators""; ""1. Introduction""
""2. The graph Î?( )""""3. Non-root classes""; ""4. Root classes""; ""5. Enumeration""; ""Appendix A. Table of automorphic conjugacy classes""; ""Appendix B. Number of automorphic conjugacy classes of each type""; ""Appendix C. Number of paths of each size""; ""Acknowledgement""; ""References""; ""On elementary free groups""; ""1. Introduction""; ""2. The Tarski Problems and Elementary Free Groups""; ""3. Surface Groups and Magnusâ€? Theorem""; ""4. Cyclic Centralizers and Commuting Elements""; ""5. Hyperbolicity and Stable Hyperbolicity""; ""6. The Retract Theorem and Turner Groups""
""7. Conjugacy Separability of Elementary Free Groups""""8. Tame Automorphisms of Elementary Free Groups""; ""9. Faithful Representations in (2,\C)""; ""References""; ""An application of a localized version of an axiom of Ian Chiswell""; ""1. Introduction""; ""2. Questions""; ""References""; ""A note on Stallings� pregroups""; ""1. Introduction""; ""2. Adds, Prees and Pregroups""; ""3. Kushner�s Generalization of a Pregroup. T2-prees""; ""4. Axiom [GLS2]""; ""5. Generalizations""; ""References""; ""A CCA secure cryptosystem using matrices over group rings""
""1. Cramer-Shoup cryptosystem""""2. A CCA-2 secure cryptosystem using matrices over group rings""; ""3. Adaptive CCA security for matrices over group rings""; ""References""; ""The MOR cryptosystem and finite -groups""; ""1. Introduction""; ""2. Definitions and notations""; ""3. The MOR cryptosystem""; ""4. MOR cryptosystems on finite -groups using ′-automorphisms""; ""5. The MOR cryptosystem and elementary abelian -group""; ""6. The extra-special -groups and its automorphism group""; ""7. MOR cryptosystems on finite -groups using -automorphisms""; ""8. Conclusion""
""4. Open problems""
Record Nr. UNINA-9910797015603321
Providence, Rhode Island : , : American Mathematical Society, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2015
Descrizione fisica 1 online resource (123 p.)
Disciplina 652/.8015122
Collana Contemporary Mathematics
Soggetto topico Group theory
Noncommutative algebras
Algorithms
Data encryption (Computer science)
Cryptography
Algebra
ISBN 1-4704-2263-8
Classificazione 20-XX68-XX
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Secret sharing using non-commutative groups and the shortlex order""; ""1. Introduction""; ""2. Formal Definition""; ""3. Shamir�s Secret Sharing Scheme""; ""4. Secret Sharing Using Non-commutative Groups""; ""5. Updating Relators""; ""6. Conclusion""; ""References""; ""An algorithm that decides conjugacy in a certain generalized free product""; ""1. Introduction""; ""2. Preliminaries""; ""3. The Algorithm""; ""References""; ""Classification of automorphic conjugacy classes in the free group on two generators""; ""1. Introduction""
""2. The graph Î?( )""""3. Non-root classes""; ""4. Root classes""; ""5. Enumeration""; ""Appendix A. Table of automorphic conjugacy classes""; ""Appendix B. Number of automorphic conjugacy classes of each type""; ""Appendix C. Number of paths of each size""; ""Acknowledgement""; ""References""; ""On elementary free groups""; ""1. Introduction""; ""2. The Tarski Problems and Elementary Free Groups""; ""3. Surface Groups and Magnusâ€? Theorem""; ""4. Cyclic Centralizers and Commuting Elements""; ""5. Hyperbolicity and Stable Hyperbolicity""; ""6. The Retract Theorem and Turner Groups""
""7. Conjugacy Separability of Elementary Free Groups""""8. Tame Automorphisms of Elementary Free Groups""; ""9. Faithful Representations in (2,\C)""; ""References""; ""An application of a localized version of an axiom of Ian Chiswell""; ""1. Introduction""; ""2. Questions""; ""References""; ""A note on Stallings� pregroups""; ""1. Introduction""; ""2. Adds, Prees and Pregroups""; ""3. Kushner�s Generalization of a Pregroup. T2-prees""; ""4. Axiom [GLS2]""; ""5. Generalizations""; ""References""; ""A CCA secure cryptosystem using matrices over group rings""
""1. Cramer-Shoup cryptosystem""""2. A CCA-2 secure cryptosystem using matrices over group rings""; ""3. Adaptive CCA security for matrices over group rings""; ""References""; ""The MOR cryptosystem and finite -groups""; ""1. Introduction""; ""2. Definitions and notations""; ""3. The MOR cryptosystem""; ""4. MOR cryptosystems on finite -groups using ′-automorphisms""; ""5. The MOR cryptosystem and elementary abelian -group""; ""6. The extra-special -groups and its automorphism group""; ""7. MOR cryptosystems on finite -groups using -automorphisms""; ""8. Conclusion""
""4. Open problems""
Record Nr. UNINA-9910826587203321
Providence, Rhode Island : , : American Mathematical Society, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui