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Algebraic Aspects of Cryptography

Author: Neal Koblitz
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1998.
Series: Algorithms and computation in mathematics, 3.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This is a textbook for a course (or self-instruction) in cryptography with emphasis on algebraic methods. The first half of the book is a self-contained informal introduction to areas of algebra, number theory, and computer science that are used in cryptography. Most of the material in the second half - "hidden monomial" systems, combinatorial-algebraic systems, and hyperelliptic systems - has not previously  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Neal Koblitz
ISBN: 9783662036426 3662036428
OCLC Number: 851382694
Description: 1 online resource (ix, 206 pages).
Contents: Cryptography --
Complexity of Computations --
Algebra --
Hidden Monomial Cryptosystems --
Combinatorial-Algebraic Cryptosystems --
Elliptic and Hyperelliptic Cryptosystems --
Appendix: An Elementary Introduction to Hyperelliptic Curves --
Answers to Excercises --
Bibliography --
Index.
Series Title: Algorithms and computation in mathematics, 3.
Responsibility: by Neal Koblitz.

Abstract:

From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or  Read more...

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"... This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. ... Read more...

 
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   schema:description "This is a textbook for a course (or self-instruction) in cryptography with emphasis on algebraic methods. The first half of the book is a self-contained informal introduction to areas of algebra, number theory, and computer science that are used in cryptography. Most of the material in the second half - "hidden monomial" systems, combinatorial-algebraic systems, and hyperelliptic systems - has not previously appeared in monograph form. The Appendix by Menezes, Wu, and Zuccherato gives an elementary treatment of hyperelliptic curves. This book is intended for graduate students, advanced undergraduates, and scientists working in various fields of data security. From the reviews: " ... This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. ... Overall, this is an excellent expository text, and will be very useful to both the student and researcher." M.V.D. Burmester, Mathematical Reviews 2002 " ... I think this book is a very inspiring book on cryptography. It goes beyond the traditional topics (most of the cryptosystems presented here are first time in a textbook, some of Patarin's work is not published yet). This way the reader has the feeling how easy to suggest a cryptosystem, how easy to break a safe looking system and hence how hard to trust one. The interested readers are forced to think together with their researchers and feel the joy of discovering new ideas. At the same time the importance of "hardcore" mathematics is emphasized and hopefully some application driven students will be motivated to study theory." P. Hajnal, Acta Scientiarum Mathematicarum 64.1998 " ... Overall, the book is highly recommended to everyone who has the requisite mathematical sophistication." E. Leiss, Computing Reviews 1998."@en ;
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