Hardware Implementation of Finite-Field Arithmetic

Nonfiction, Science & Nature, Technology, Electronics, Digital, Electricity, Telecommunications
Cover of the book Hardware Implementation of Finite-Field Arithmetic by Jean-Pierre Deschamps, McGraw-Hill Education
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Author: Jean-Pierre Deschamps ISBN: 9780071545822
Publisher: McGraw-Hill Education Publication: January 14, 2009
Imprint: McGraw-Hill Education Language: English
Author: Jean-Pierre Deschamps
ISBN: 9780071545822
Publisher: McGraw-Hill Education
Publication: January 14, 2009
Imprint: McGraw-Hill Education
Language: English

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(pm)
  • Operations over the commutative ring Zp[x]/f(x)
  • Operations over the binary field GF(2m) using normal, polynomial, dual, and triangular
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

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