Algorithms and Computation in Mathematics

Algebraic Aspects of Cryptography

Authors: Koblitz, Neal

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eBook 118,99 €
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Hardcover 145,59 €
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Softcover 145,59 €
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  • ISBN 978-3-642-08332-7
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About this book

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

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 Paturi'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 ther 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."

Péter Hajnal, Acta Scientiarum Mathematicarum, 64.1998, p. 750

"... Overall, the book is highly recommended to everyone who has the requisite mathematical sophistication."

E.Leiss, Computing Reviews 1998, p. 506

"... Der Autor, der ... vielen Lesern dieses Rundbriefs gut bekannt sein wird, hat hier ein kleines Werk vorgelegt, das man wohl am Besten als "Lesebuch zu algebraischen Aspekten der Kryptographie mit öffentlichem Schlüssel" charakterisieren kann. ...

Mit zunehmender Schwierigkeit des Material werden die Ausführungen dabei skizzenhafter und beschränken sich immer stärker auf den Hinweis auf entsprechende Quellen, was den Charakter eines guten "Lesebuchs", wie ich es oben bezeichnet habe, ausmachen sollte. Das Buch eignet sich damit selbst für "advanced undergraduates", wie es im Klappentext heißt, als Einstieg und erster Überblick über ein Gebiet, in dem sich in den letzten Jahren auf überraschende Weise praktische Anwendungsmöglichkeiten für tief innermathematische Themen ergeben haben."

Hans-Gert Gräbe, Computeralgebra Rundbrief 1999, Issue 25

"... Es gelingt Koblitz, anschaulich und mit elementaren Mitteln auch Dinge zu erläutern, die in vergleichbaren Texten kaum zu finden sind: z.B. den Hilbertschen Basis- und Nullstellensatz, sowie Gröbnerbasen. ..."

Franz Lemmermeyer, Mathematische Semesterberichte 1999, 46/1 

 

 


Table of contents (6 chapters)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-662-03642-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-540-63446-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-642-08332-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Aspects of Cryptography
Authors
Series Title
Algorithms and Computation in Mathematics
Series Volume
3
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03642-6
DOI
10.1007/978-3-662-03642-6
Hardcover ISBN
978-3-540-63446-1
Softcover ISBN
978-3-642-08332-7
Series ISSN
1431-1550
Edition Number
1
Number of Pages
IX, 206
Topics