Deschamps, Jean-Pierre
Hardware Implementation of Finite-Field Arithmetic (Electronic Engineering)
### ISBN 13: 9780071545815

**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*(2*m*) using normal, polynomial, dual, and triangular

*"synopsis" may belong to another edition of this title.*

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.

*"About this title" may belong to another edition of this title.*

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(2009)

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ISBN 13: 9780071545815

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**Book Description **McGraw-Hill Professional, 2009. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 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. Bookseller Inventory # ABE_book_new_0071545816

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ISBN 13: 9780071545815

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**Book Description **McGraw-Hill Professional, 2009. Hardcover. Book Condition: New. book. Bookseller Inventory # 0071545816

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**Book Description **McGraw-Hill Education - Europe, United States, 2009. Hardback. Book Condition: New. 231 x 152 mm. Language: English . Brand New Book. 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); and, operations over the binary field GF(2m) using normal, polynomial, dual, and triangular. Bookseller Inventory # AA39780071545815

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**Book Description **McGraw-Hill Education - Europe. Hardback. Book Condition: new. BRAND NEW, Hardware Implementation of Finite-field Arithmetic, Jean-Pierre Deschamps, 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); and, operations over the binary field GF(2m) using normal, polynomial, dual, and triangular. Bookseller Inventory # B9780071545815

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Published by
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ISBN 10: 0071545816
ISBN 13: 9780071545815

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**Book Description **McGraw-Hill Education - Europe, United States, 2009. Hardback. Book Condition: New. 231 x 152 mm. Language: English . Brand New Book. 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); and, operations over the binary field GF(2m) using normal, polynomial, dual, and triangular. Bookseller Inventory # AA39780071545815

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**Book Description **McGraw-Hill Education, 2009. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CM-9780071545815

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**Book Description **McGraw-Hill Professional Pub, 2009. Hardcover. Book Condition: Brand New. 1st edition. 360 pages. 9.00x6.25x1.25 inches. In Stock. Bookseller Inventory # __0071545816

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**Book Description **2009. Hardcover. Book Condition: New. 155mm x 28mm x 231mm. Hardcover. 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 Implementat.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 347 pages. 0.635. Bookseller Inventory # 9780071545815

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**Book Description **McGraw-Hill Education, 2009. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9780071545815

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