Hardware Implementation of Finite-Field Arithmetic
by: Jean-Pierre Deschamps, José Luis Imaña, Gustavo D. Sutter
Abstract: This state-of-the-art guide shows you how to apply the basic mathematical techniques needed to synthesize and design Field Programmable Gate Arrays (FPGAs), an attractive option for small production quantities with lower costs and the ability to be reconfigured so that the same programmable device can execute different predefined functions.
Full details
Table of Contents
- A. About the Authors
- B. Preface
- C. Acknowledgments
- 1. Mathematical Background
- 2. mod m Reduction
- 3. mod m Operations
- 4. Operations over GF(p)
- 5. Operations over Z p[x]/f(x)
- 6. Operations over GF(p m)
- 7. Operations over GF(2 m)—Polynomial Bases
- 8. Operations over GF (2 m)—Normal Bases
- 9. Operations over GF (2 m)—Other Bases
- 10. An Example of Application—Elliptic Curve Cryptography
- A. p = 2 192 − 2 64 − 1
- B. Optimal Extension Fields
- C. Binary Fields
- D. Ada versus VHDL
Tools & Media
Expanded Table of Contents
-
A.
About the Authors
- B. Preface
-
C.
Acknowledgments
- 1. Mathematical Background
- 2. mod m Reduction
- 3. mod m Operations
- 4. Operations over GF(p)
- 5. Operations over Z p[x]/f(x)
- 6. Operations over GF(p m)
- 7. Operations over GF(2 m)—Polynomial Bases
- 8. Operations over GF (2 m)—Normal Bases
- 9. Operations over GF (2 m)—Other Bases
- 10. An Example of Application—Elliptic Curve Cryptography
- A. p = 2 192 − 2 64 − 1
- B. Optimal Extension Fields
- C. Binary Fields
-
D.
Ada versus VHDL
Book Details
Title: Hardware Implementation of Finite-Field Arithmetic
Publisher: : New York, Chicago, San Francisco, Lisbon, London, Madrid, Mexico City, Milan, New Delhi, San Juan, Seoul, Singapore, Sydney, Toronto
Copyright / Pub. Date: 2009 The McGraw-Hill Companies, Inc.
ISBN: 9780071545815
Authors:
Jean-Pierre Deschamps
Ph.D., is a professor at the University Rovira i Virgili in Tarragona, Spain.
José Luis Imaña
John is Vice President of Advanced Technology for FLIR Systems, Inc., in Portland,
Oregon. He and his wife, Corinne Foster, split their time between Lake Oswego and
Gustavo D. Sutter
Ph.D., is a professor at the Autonomous University of Madrid, Spain.
Description: This state-of-the-art guide shows you how to apply the basic mathematical techniques needed to synthesize and design Field Programmable Gate Arrays (FPGAs), an attractive option for small production quantities with lower costs and the ability to be reconfigured so that the same programmable device can execute different predefined functions.
