Hardware Implementation of Finite-Field Arithmetic Ebook

Publication: McGraw-Hill Education
 
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Language: English
Publication Date: January 2009
Pages: 360
File Size: 1930 Kbytes

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Language: English
Publication Date: January 2009
File Size: 10856 Kbytes

Restrictions set by Publisher:
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ISBN: 9780071545822   Should I buy this Ebook?   Write a Review

Description

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

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Hardware Implementation of Finite-Field Arithmetic