TY - BOOK AU - Deschamps,Jean-Pierre AU - Imaña,José Luis AU - Sutter,Gustavo D. TI - Hardware implementation of finite-field arithmetic / T2 - Electronic engineering SN - 9780071545815 U1 - 621.395 22 PY - 2009/// CY - New York : PB - McGraw-Hill, KW - Embedded computer systems KW - Design and construction KW - Field programmable gate arrays KW - Application-specific integrated circuits KW - Computer arithmetic N1 - 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 N2 - 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 ER -