Hardware implementation of finite-field arithmetic /
Deschamps, Jean-Pierre, 1945-
Hardware implementation of finite-field arithmetic / Jean-Pierre Deschamps, José Luis Imaña, Gustavo D. Sutter. - New York : McGraw-Hill, c2009. - xiii, 347 p. : ill. ; 24 cm. - Electronic engineering .
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.
9780071545815 0071545816
2009280706
Embedded computer systems -- Design and construction.
Field programmable gate arrays.
Application-specific integrated circuits.
Computer arithmetic.
621.395
Hardware implementation of finite-field arithmetic / Jean-Pierre Deschamps, José Luis Imaña, Gustavo D. Sutter. - New York : McGraw-Hill, c2009. - xiii, 347 p. : ill. ; 24 cm. - Electronic engineering .
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.
9780071545815 0071545816
2009280706
Embedded computer systems -- Design and construction.
Field programmable gate arrays.
Application-specific integrated circuits.
Computer arithmetic.
621.395