By Francisco Rodriguez-Henriquez, N.A. Saqib, Arturo Díaz Pérez, Cetin Kaya Koc

ISBN-10: 0387338837

ISBN-13: 9780387338835

ISBN-10: 0387366822

ISBN-13: 9780387366821

This publication covers the examine of computational equipment, desktop mathematics algorithms, and layout development options had to enforce effective cryptographic algorithms in FPGA reconfigurable systems. The thoughts and strategies reviewed during this booklet will make distinct emphasis at the useful facets of reconfigurable layout, explaining the elemental arithmetic comparable and giving a accomplished description of state of the art implementation concepts. The authors convey how high-speed cryptographic algorithms implementations should be completed on reconfigurable units with out posing prohibited excessive requisites for assets. the fabric during this publication could be of curiosity to engineering execs, programmers, designers, and graduate scholars attracted to the advance of safeguard and cryptographic mechanisms at a beginning/intermediate level.

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**Extra info for Cryptographic Algorithms on Reconfigurable Hardware**

**Sample text**

The most common primitives in various such types of algorithms include modular addition/subtraction, modular multiplication, variable length rotations, etc. Those primitives give algorithmic strength but they are hard to implement: occupy more space and consume more time. Therefore those algorithms are not used for encrypting large data files, but rather, they are applied to other important cryptographic applications like key exchange, signature, verification, etc. A Brief Introduction to Modern Cryptography A detail survey conducted in [44], identifies the basic operations involved in several cryptographic algorithms.

Those CLBs can be reconfigured by the designers themselves resulting in a functionally new digital circuit, this way, virtually any kind of digital circuit can be implemented using FPGAs [11, 272, 304, 244]. At first, FPGA devices were mainly applied for logic design, and as a consequence of that, numerous tools were designed for synthesizing logic designs on them. Among those tools, Hardware Description Languages (HDL) and schematic diagram editors have been traditionally used as a starting point for such a synthesis process.

A , 6 G Fg t h a t define t h e eUiptic equation E over Fg. = (xp, yp) e¥q t h a t belongs to t h e curve E. P must have P. - #E{¥q)/n. E C D S A Key Generation Let P e E{¥q) with order n, where E is an elliptic curve as defined above. We consider t h e field order q, the elliptic curve equation E and t h e base point P as public domain p a r a m e t e r s . T h e private key d is a. 8 below. T h e problem of defining d given P a n d Q is known as the elliptic curve discrete logarithm problem. yq) and d.

### Cryptographic Algorithms on Reconfigurable Hardware by Francisco Rodriguez-Henriquez, N.A. Saqib, Arturo Díaz Pérez, Cetin Kaya Koc

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