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Hardware implementation of finite-field arithmetic / Jean-Pierre Deschamps, José Luis Imaña, Gustavo D. Sutter.

By: Contributor(s): Material type: TextTextSeries: Electronic engineeringPublication details: New York : McGraw-Hill, c2009.Description: xiii, 347 p. : ill. ; 24 cmISBN:
  • 9780071545815
  • 0071545816
Subject(s): DDC classification:
  • 621.395   22
Contents:
Chapter 1. Mathematical background -- Chapter 2. Mod m reduction -- Chapter 3. Mod m operations -- Chapter 4. Operations over GF(p) -- Chapter 5. Operations over Zp [x] / f(x) -- Chapter 6. Operations over GF(pn) -- Chapter 7. Operations over GF(2m) - Polynomial bases -- Chapter 8. Operations over GF(2m) - Normal bases -- Chapter 9. Operations over GF(2m) - Other bases -- Chapter 10. Elliptic curve cryptography.
Summary: This comprehensive resource begins with an overview of mathematics, covering algebra, number theory, finite fields, and cryptography. The book then presents algorithms which can be executed and verified with actual input data. Logic schemes and VHDL models are described in such a way that the corresponding circuits can be easily simulated and synthesized. The book concludes with a real-world example of a finite-field application--elliptic-curve cryptography. This is an essential guide for hardware engineers involved in the development of embedded systems.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
Books Books Main library General Stacks 621.395 / DE.H 2009 (Browse shelf(Opens below)) 1 Available 011884

Includes bibliographical references and index.

Chapter 1. Mathematical background -- Chapter 2. Mod m reduction -- Chapter 3. Mod m operations -- Chapter 4. Operations over GF(p) -- Chapter 5. Operations over Zp [x] / f(x) -- Chapter 6. Operations over GF(pn) -- Chapter 7. Operations over GF(2m) - Polynomial bases -- Chapter 8. Operations over GF(2m) - Normal bases -- Chapter 9. Operations over GF(2m) - Other bases -- Chapter 10. Elliptic curve cryptography.

This comprehensive resource begins with an overview of mathematics, covering algebra, number theory, finite fields, and cryptography. The book then presents algorithms which can be executed and verified with actual input data. Logic schemes and VHDL models are described in such a way that the corresponding circuits can be easily simulated and synthesized. The book concludes with a real-world example of a finite-field application--elliptic-curve cryptography. This is an essential guide for hardware engineers involved in the development of embedded systems.

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