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" Non-commutative cryptography and complexity of group-theoretic problems / "
Alexei Myasnikov, Vladimir Shpilrain, Alexander Ushakov ; with an appendix by Natalia Mosina
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BL
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| Record Number
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587182
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| Doc. No
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b416401
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| Main Entry
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Myasnikov, Alexei G.,1955-
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| Title & Author
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Non-commutative cryptography and complexity of group-theoretic problems /\ Alexei Myasnikov, Vladimir Shpilrain, Alexander Ushakov ; with an appendix by Natalia Mosina
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2011
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| Series Statement
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Mathematical surveys and monographs ;; v. 177
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| Page. NO
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xiv, 385 p. :: ill. ;; 26 cm
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| ISBN
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0821853600 (alk. paper)
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: 9780821853603 (alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Abstract
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Myasnikov (City College of New York) et al. apply the complexity of non-commutative groups to public key cryptography, assess the generic-case performance of various algorithms, and explore the asymptotically dominant properties of infinite groups used in public key cryptography. The second half of the book develops algorithms for word search and conjugacy search problems, a decision algorithm for the work problem in free solvable groups, and a polynomial time algorithm based on a straight line program. An appendix links probability theory and cryptanalysis. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)
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| Subject
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Combinatorial group theory
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Cryptography
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Computer algorithms
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Number theory
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| Dewey Classification
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005.8/2
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| LC Classification
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QA182.5.M934 2011
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| Added Entry
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Shpilrain, Vladimir,1960-
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Ushakov, Alexander
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