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Hardware Implementation of Finite-Field Arithmetic
by Deschamps, Jean-Pierre
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Hardware Implementation of Finite-Field Arithmetic
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 reduction addition, subtraction, multiplication, and exponentiation Operations over and Operations over the commutative ring Operations over the binary field using normal, polynomial, dual, and triangular.


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Title of ebook: Hardware Implementation of Finite-Field Arithmetic
ISBN: 9780071545822
parent-ISBN: 9780071545815
Publisher: McGraw-Hill
Internet download file size: 7437 kb
Released online for download: 02-19-2009
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