Hardware Implementation of Finite-Field Arithmetic (Electronic Engineering) - Hardcover

DESCHAMPS

Hardcover

ISBN 10: 0071545816 ISBN 13: 9780071545815

Publisher: McGraw Hill, 2009

Synopsis

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Implement Finite-Field Arithmetic in Specific Hardware (FPGA and ASIC)

Master cutting-edge electronic circuit synthesis and design with help from this detailed guide. Hardware Implementation of Finite-Field Arithmetic describes algorithms and circuits for executing finite-field operations, including addition, subtraction, multiplication, squaring, exponentiation, and division.

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.

Get detailed coverage of:

• Modulo m reduction
• Modulo m addition, subtraction, multiplication, and exponentiation
• Operations over GF(p) and GF(p^m)
• Operations over the commutative ring Z_p[x]/f(x)
  
• Operations over the binary field GF(2^m) using normal, polynomial, dual, and triangular
  

About this title

About the Author

Jean-Pierre Deschamps, Ph.D., is a professor atthe University Rovira i Virgili in Tarragona, Spain.

José Luis Imaña, Ph.D., is a professor at ComplutenseUniversity of Madrid, Spain.

Gustavo D. Sutter, Ph.D., is a professor at theAutonomous University of Madrid, Spain.

Edition details

• Publisher: McGraw Hill
• Publication date: 2009
• Language: English
• ISBN 10: 0071545816
• ISBN 13: 9780071545815
• Binding: Hardcover
• Edition number: 1
• Number of pages: 368