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[...]... practical solution for embedded systems and high-speed applications It was therefore planned to conduct a study of high-speed cryptographic solutions on reconfigurable hardware platforms Both efficient and cost effective solutions of cryptographic algorithms are desired on reconfigurable logic platform The term "efficient" normally refers to "high speed" solutions In this Book, we do not only look for... most emblematic algorithms, namely, the Data Encryption Standard (DES) and the Advance Encryption Standard (AES) In the case of asymmetric cryptosystems we analyze fast implementations of Elliptic Curve operations defined over binary extension fields Several considerations were made to achieve high speed and economical implementations of those algorithms on reconfigurable logic platforms One of them was... from the cryptographic algorithms of layer 1, it is indispensable to have an eflftcient implementation of arithmetic operations such as, addition, subtraction, multiplication, exponentiation, etc In the rest of this Chapter we give a short introduction to the algorithms and security services listed in layers 2-4 Hence, the basic concepts of cryptography, fundamental operations in cryptographic algorithms. .. Standard Multiphcation Algorithm The Standard Squaring Algorithm The Restoring Division Algorithm The Nonrestoring Division Algorithm The Interleaving Multiplication Algorithm The Carry-Save Interleaving Multiplication Algorithm The Carry-Save Interleaving Multiphcation Algorithm Revisited Montgomery Product Montgomery Modular Multiphcation: Version 1 Montgomery Modular Multiphcation: Version II Specialized... also for low area (in terms of hardware resources) solutions Our main objective is therefore to find high speed and low area implementations of cryptographic algorithms using reconfigurable logic devices That imphes careful considerations of cryptographic algorithm formulations, which often will lead to modify the traditional specifications of those algorithms That also imphes knowledge of the target device:... implementing cryptographic functions on 1 embedded devices are needed An additional challenge is that these implementations should be done in such a way to resist cryptanalytic attacks launched against them by adversaries having access to primary (communication) and secondary (power, electromagnetic, acoustic) channels This book, among only a few on the subject, is a fruit of an international collaboration to... G(X,Y,Z) (c) H(X,Y,Z) (d) I(X,Y,Z) One MD5 Operation Padding Message in SHA-1 and SHA-256 Padding Message in SHA-384 and SHA-512 Implementing SHA-1 Auxiliary Functions in Reconfigurable Hardware i7o, Z*!, CTQ, and ai in Reconfigurable Hardware Single Operation for SHA-1 Single Operation for SHA-256 Iterative Approach for Hash Function Implementation Hash Function Implementation (a) Unrolled Design (b) Combining... Weierstrass Non-Singular Form 296 10.3.1 Projective Coordinates 296 10.3.2 The Montgomery Method 297 10.4 Parallel Strategies for Scalar Point Multiplication 300 10.5 Implementing scalar multiphcation on Reconfigurable Hardware302 10.5.1 Arithmetic-Logic Unit for Scalar Multiphcation 303 10.5.2 Scalar multiplication in Hessian Form 304 10.5.3 Montgomery Point Multiphcation 306 10.5.4 Implementation Summary... Exponentiation 187 Doubhng & Add algorithm for Scalar MultipHcation: MSB-First 295 Doubhng & Add algorithm for Scalar MultipHcation: LSB-First 295 Montgomery Point Doubhng 297 Montgomery Point Addition 298 Montgomery Point Multiplication 299 Standard Projective to Affine Coordinates 299 10.7 CJTNAF Expansion[133, 132] 312 10.8 CJTNAF Scalar MultipHcation [133, 132] 10.9 cjrNAF Scalar Multiplication:... implications imposed by efficient solutions An optimized cryptographic solution will be the one for which every step; starting from its high-level specification down to the physical prototype realization is carefully examined It is known that the final performance of cryptographic algorithms heavily depends on the efficiency of their underlying field arithmetic Consequently, we begin our investigation by . Please purchase PDF Split-Merge on www.verypdf.com to remove this watermark. Please purchase PDF Split-Merge on www.verypdf.com to remove this watermark watermark. 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