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Public-Key Cryptography and Computational Number Theory : Proceedings of the International Conference Organized by the Stefan Banach International Mathematical Center Warsaw, Poland, September 11-15 2000.

By: Contributor(s): Material type: TextTextSeries: De Gruyter Proceedings in Mathematics SeriesPublisher: Berlin/Boston : Walter de Gruyter GmbH, 2001Copyright date: ©2001Edition: 1st edDescription: 1 online resource (344 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110881035
Genre/Form: Additional physical formats: Print version:: Public-Key Cryptography and Computational Number TheoryLOC classification:
  • QA268 -- .P83 2001eb
Online resources:
Contents:
Intro -- Preface -- Mathematics, cryptology, and technology -- A survey on IQ cryptography -- Algebraic groups and discrete logarithm -- Fermat numbers, Wieferich and Wilson primes: computations and generalizations -- How to distinguish hyperelliptic curves in even characteristic -- Limitations of constructive Weil descent -- On the security of a public-key cryptosystem -- Optimizations for NTRU -- The efficiency and security of a real quadratic field based key exchange protocol -- Extending the binary gcd algorithms -- Stochastic kleptography detection -- An overview of the XTR public key system -- A survey of IND-CCA secure public-key encryption schemes relative to factoring -- Efficient point multiplication for elliptic curves over special optimal extension fields -- Error-correcting codes and cryptography -- Secret public key schemes -- Index form surfaces and construction of elliptic curves over large finite fields -- On the size of solutions of the inequality φ(ax + b) &lt -- φ(ax) -- Security of DL-encryption and signatures against generic attacks - a survey -- Square-root algorithms for the discrete logarithm problem (a survey) -- Height functions on elliptic curves -- List of participants -- List of contributors.
Summary: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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Intro -- Preface -- Mathematics, cryptology, and technology -- A survey on IQ cryptography -- Algebraic groups and discrete logarithm -- Fermat numbers, Wieferich and Wilson primes: computations and generalizations -- How to distinguish hyperelliptic curves in even characteristic -- Limitations of constructive Weil descent -- On the security of a public-key cryptosystem -- Optimizations for NTRU -- The efficiency and security of a real quadratic field based key exchange protocol -- Extending the binary gcd algorithms -- Stochastic kleptography detection -- An overview of the XTR public key system -- A survey of IND-CCA secure public-key encryption schemes relative to factoring -- Efficient point multiplication for elliptic curves over special optimal extension fields -- Error-correcting codes and cryptography -- Secret public key schemes -- Index form surfaces and construction of elliptic curves over large finite fields -- On the size of solutions of the inequality φ(ax + b) &lt -- φ(ax) -- Security of DL-encryption and signatures against generic attacks - a survey -- Square-root algorithms for the discrete logarithm problem (a survey) -- Height functions on elliptic curves -- List of participants -- List of contributors.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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