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Hardware Implementation of Finite-Field Arithmetic (Electronic Engineering), by Jean-Pierre Deschamps
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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(pm)
- Operations over the commutative ring Zp[x]/f(x)
- Operations over the binary field GF(2m) using normal, polynomial, dual, and triangular
- Sales Rank: #1815372 in Books
- Published on: 2009-03-12
- Original language: English
- Number of items: 1
- Dimensions: 9.30" h x 1.15" w x 6.30" l, 1.40 pounds
- Binding: Hardcover
- 360 pages
About the Author
Jean-Pierre Deschamps, Ph.D., is a professor at the University Rovira i Virgili in Tarragona, Spain.
José Luis Imaña, Ph.D., is a professor at Complutense University of Madrid, Spain.
Gustavo D. Sutter, Ph.D., is a professor at the Autonomous University of Madrid, Spain.
Most helpful customer reviews
3 of 3 people found the following review helpful.
Deschamps in general-- what you get and don't
By Let's Compare Options Preptorial
Jean-Pierre Deschamps lives in an interesting region bounded by embedded systems, math circuits, cryptography and field programmable devices. His tools of choice are FPGA, ASIC and VHDL. The intersection area of all three of his most powerful and current books is the transition from already planned algorithms to circuits. There is enough breadth and depth to provide both a reference for practicing EE's and students in these specific areas. What you don't get in any of his books are specific algorithms.
Jean-Pierre uses more of a "here is the general structure of the algorithm" with practical tips on steps and stages rather than complete specs, for what I'd call "pseudo algos" much like pseudo code. However, in this case there are many details on how the basic functions TRANSLATE both to algorithms, and especially circuits, including downloadable circuit diagrams in many areas.
His most important contributions include:
Guide to FPGA Implementation of Arithmetic Functions (Lecture Notes in Electrical Engineering)
Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems
Hardware Implementation of Finite-Field Arithmetic (Electronic Engineering)
All three books give deep detail about the math involved itself-- citing where functions are continuous and derivable enough NEAR a computational area at which successive approximations can be processed, for example.
Given the paucity of any current and recent books on math circuits, and even journal articles, Deschamps is a breath of fresh air in this space. The older books have a lot of algorithms but didn't have to cope with today's memory and parallel processing nightmares. They also didn't forsee the incredible explosion of embedded systems we're seeing today. These books are NOT cheap, and we always surf Amazon for their warehouse deals when we recommend these texts for our classpros dot com Engineering teachers. The feedback we've gotten on all three of Deschamps titles above is outstanding-- over 33 professors we've recommended these to are now actively using them in courses and especially labs.
If you're looking to supercharge your professional life in the hottest new areas in ICs-- embedded systems, mobile devices and math-- Jean-Pierre's trifecta is a GREAT place to start.
I'm the CTO of an Engineering Education and circuit programming firm, and have no relationship with the author, publisher, Amazon, etc. LP reviews are strictly for the benefit of readers, and we always buy the books we review or recommend to libraries and schools.
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