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[null,"1.","Record Nr.",null,"UNINA9910817177003321"]
[null,null,"Titolo",null,"Group theory, statistics, and cryptography : AMS Special Session, Combinatorial and Statistical Group Theory, April 12-13, 2003, New York University / / Alexei G. Myasnikov, Vladimir Shpilrain, editors"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2004]"]
[{"$nulls":4},"©2004"]
[null,null,"ISBN",null,"0-8218-7950-2"]
[null,null,"Descrizione fisica",null,"1 online resource (186 p.)"]
[null,null,"Collana",null,"Contemporary mathematics, , 0271-4132 ; ; 360"]
[null,null,"Disciplina",null,"512/.2"]
[null,null,"Soggetti",null,"Group theory"]
[{"$nulls":4},"Mathematical statistics"]
[{"$nulls":4},"Cryptography"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Preface\"\"; \"\"On power- and commutation transitive, power commutative, and restricted Gromov groups\"\"; \"\"Braid-based cryptography\"\"; \"\"1. Background on braids\"\"; \"\"1.1. Braid groups\"\"; \"\"1.2. The greedy normal form\"\"; \"\"1.3. Implementation of braids\"\"; \"\"2. Braid-based schemes\"\"; \"\"2.1. Key exchange\"\"; \"\"2.2. Encipheringâ€?deciphering\"\"; \"\"2.3. Authentication\"\"; \"\"2.4. Signature\"\"; \"\"3. Attacks against the braid schemes\"\"; \"\"3.1. Solutions to the Conjugacy Problem\"\"; \"\"3.2. Attacks based on length\"\"; \"\"3.3. Attacks based on linear representations\"\""]
[{"$nulls":4},"\"\"3.4. Are these attacks dangerous?\"\"\"\"4. Clues for further research\"\"; \"\"4.1. Key generation\"\"; \"\"4.2. Random drawing and security proofs\"\"; \"\"4.3. Using braid words and braid reduction\"\"; \"\"4.4. Hash functions\"\"; \"\"4.5. Resorting to other braid problems\"\"; \"\"5. Conclusion\"\"; \"\"Discriminating and squarelike groups I: Axiomatics\"\"; \"\"The density of small words in a free group is 0\"\"; \"\"Braid groups and Aut(F2) are not rigid\"\"; \"\"On varieties of groups in which all periodic groups are abelian\"\"; \"\"Subgroups of fully residually free groups: algorithmic problems\"\"; \"\"1. Introduction\"\""]
[{"$nulls":4},"\"\"2. Preliminaries\"\"\"\"3. Intersection of two finitely generated subgroups of FZ[t]\"\"; \"\"4. Properties of intersections of finitely generated subgroups of FZ[t]\"\"; \"\"5. Centralizers in finitely generated fully residually free groups\"\"; \"\"6. Conjugacy problem in finitely generated "]
[{"$nulls":4},"subgroups of FZ[t]\"\"; \"\"References\"\"; \"\"Weak hyperbolicity and free constructions\"\"; \"\"Some properties of the conjugacy class growth function\"\"; \"\"Boundary test elements\"\"; \"\"Geodesics in the braid group on three strands\"\"; \"\"Remarks on the growth of inverse semigroups\"\""]
[{"$nulls":4},"\"\"Assessing security of some group based cryptosystems\"\""]