Cryptographic algorithms on reconfigurable hardware p1
Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P1 doc
... 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 ... 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 ... implementations of cryptographic algorithms using reconfigurable logic devices That imphes careful considerations of cryptographic algorithm formulations, which often will lead to modify the traditional...
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Cryptographic algorithms on reconfigurable hardware p1
... 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 ... Montgomery Product Montgomery Modular Multiphcation: Version Montgomery Modular Multiphcation: Version II Specialized Modular Inverse Montgomery Modular Exponentiation Add-and-Shift Montgomery Product ... Arithmetic Operations 183 6.4.1 Trace function 183 6.4.2 Solving a Quadratic Equation over GF{2'^) 184 6.4.3 Exponentiation over Binary Finite Fields 185 6.5 Conclusions 186 Reconfigurable Hardware Implementation...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P2 pdf
... additional information is known The following three problems are considered among the most common for creating trapdoor one-way functions Please purchase PDF Split-Merge on www.verypdf.com to remove ... computation of f~^{x) should be computationally intractable A trapdoor one-way function is a one-way function such that the computation f~^{x) is easy, provided that certain special additional information ... Authentication and non-repudiation cannot be fully implemented by only using secret key cryptography [317] 2.3 Hash Functions Definition 2.3 A Hash function H is a computationally efficient function that...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P3 pdf
... power consumption of the FPGA device during the execution of a cryptographic operation Thereafter, that power consumption can be analyzed in an effort for finding regions in the power consumption ... registers On the contrary, in hardware description languages, the same instruction can be implemented almost for free, just caring for language notations One Please purchase PDF Split-Merge on www.verypdf.com ... that component, namely, Please purchase PDF Split-Merge on www.verypdf.com to remove this watermark 50 Reconfigurable Hardware Technology FPGA Iteration-lev el parallelism^ obtained by, among others,...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P4 pptx
... techniques for exponentiation, modular multiplication, modular addition, and addition operations We intend to cover mathematical and algorithmic aspects of the modular exponentiation operation, providing ... Equations (4.9) and (4.10) However, the computational cost of those equations involves the calculation of a costly field inverse operation plus several field multiplications Since the relation (I/M) ... computational cost of a field inversion over the computational cost of a field multiplication is above and 20 in hardware and software implementations, respectively, there is a strong motivation for...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P5 doc
... modular exponentiation, i.e., the computation of M^ mod n Using one of the addition chain algorithms given in §5.4, we replace the exponentiation operation by a series of square and multiplication operations ... routine: Step ei Step MonPro(3,3) = MonPro(8,3) = MonPro(8,8) = MonPro(4,4) = MonPro(8,l) = MonPro(7,7) = 12 o Computation of MonPro(3,3) = 3: o Computation of MonPro(8,3) = 8: t := • = t := • = ... Section we will consider that every multiplication operation always includes a subsequent reduction step In general one can follow two strategies in order to optimize the computation of (5.1) One...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P6 pptx
... arithmetic operations include: addition, subtraction, multiphcation, squaring, square root, multiplicative inverse, division and exponentiation Addition and subtraction are equivalent operations in GF{2'^) ... for modular exponentiation All designs included in Table 5.1 were implemented either on VLSI or on reconfigurable hardware platforms Notice also that there is a strong correlation between design's ... of multiplications as • • • Computation of Ml: |(/c/2) (/c/2)-bit multiplications Computation of M2: ^{k/2) (A;/2)-bit multiplications Computation of M: One {k/2)-h\t subtraction, two (A;/2)-bit...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P7 doc
... Among customary finite field arithmetic operations, namely, addition, subtraction, multiplication and inversion of nonzero elements, the computation of the later is the most time-consuming one ... gates and one Tx delay The complexity costs found on Equations (6.36) through (6.39) are in consonance with the ones analytically derived in [386, 387] 6.2.2 Field Square Root Computation In the ... this Section we briefly describe some important binary finite field arithmetic operations such as, the computation of the trace function, the half trace function and binary exponentiation The first...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P8 pdf
... representation Once again, let us consider the same example Please purchase PDF Split-Merge on www.verypdf.com to remove this watermark 204 Reconfigurable Hardware Implementation of Hash Functions message ... the security of a hash function strongly depends upon the security of its compression function [234, 62, 245] Indeed, if the compression function is strongly collision resistant, then hashing a ... purchase PDF Split-Merge on www.verypdf.com to remove this watermark 194 Reconfigurable Hardware Implementation of Hash Functions authors Then, in 2004, the never ending battle between hash function...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P9 docx
... logical operations, permutations, substitutions, shift operations, etc Although those features are naturally suited for efficient implementations on reconfigurable devices, DES implementations can be ... Mbps 7.7 Conclusions In this chapter, various popular hash algorithms were described The main emphasis on that description was made on evaluating hardware implementation aspects of hash algorithms ... 8.4 demonstrates a simple example of permuting bits only That strategy can be extended for the permutation operation over longer blocks Permutation for bits Fig 8.4 Permutation Operation in FPGAs...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P10 doc
... encryption and decryption would result in high area requirements Prom Section 9.2.4, we know that only one MI transformation in addition to AF and lAF transformations is required for both encryption ... MixColumns step includes dimensions^ linearity, diffusion and performance on 8-bit processor platforme The Dimension criterion it is achieved in the transformation operation on 4-byte columns Please ... be carried out for just encryption, encryption/decryption on the same chip, separate encryption and decryption cores, or simply decryption A separate implementation of AES encryptor or decryptor...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P11 docx
... multiplications, • • • • Scalar multiplication apphed on Hessian elliptic curves Montgomery Scalar Multiplication apphed on Weierstrass elliptic curves Scalar multiplication applied on Koblitz ... Notice also that both expressions for xs and 1/3 in affine coordinates include one inversion operation Although this conversion procedure must be performed only once in the final step, still ... number of inversion operations as much as possible Fortunately it is possible to reduce one inversion operation by using the common operations from Please purchase PDF Split-Merge on www.verypdf.com...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P12 doc
... Fast Modular Exponentiation In E Ankan, editor, Communication, Control, and Signal Processing: Proceedings of 1990 Bilkent International Conference on New Trends in Communication, Control, and Signal ... International Conference on Reconfigurable Computing and FPGAs ReConFig05, Puebla City, Mexico, pages 1-4, September 2005 101 H L Garner The Residue Number Systems IRE Transactions on Electronic ... Encryption, pages 89-97, London, UK, 1996 Springer-Verlag B Ansari and H Wu Parallel Scalar Multiplication for Elliptic Curve Cryptosystems In International Conference on Communications, Circuits...
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Tài liệu Cryptographic Algorithms on Reconfigurable Hardware- P13 doc
... Cryptography, 9, 12 Reconfigurable Computing Paradigm, 50 Reconfigurable Devices, 31 Reconfigurable Hardware Implementation Aspects, 53 Security, 61 Reconfigurable Logic, 32 Reduction Operation, 140 Restoring ... Montgomery Modular Multiplication, 116 Montgomery Point Multiplication, 298, 305 MSB-First Binary Exponentiation , 125 NonRestoring Division Algorithm, 106 Omura's Method, 99 One-way Function, ... reconfigurable hardware, one or more processor and memory blocks on a single chip Confusion Confusion makes the output dependent on the key Ideally every key bit influences every output bit Cryptographic...
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A parallel implementation on modern hardware for geo-electrical tomographical software
... scientific software and especially the new field of personal supercomputing A PARALLEL IMPLEMENTATION ON MODERN HARDWARE FOR GEO-ELECTRICAL TOMOGRAPHICAL SOFTWARE NGUYỄN HOÀNG VŨ A PARALLEL IMPLEMENTATION ... Instruction-Level Parallel (Fined-Grained Control Parallelism) • Process-Level Parallel (Coarse-Grained Control Parallelism) • Data Parallel (Data Parallelism) These categories are not exclusive of each ... IMPLEMENTATION ON MODERN HARDWARE FOR GEO-ELECTRICAL TOMOGRAPHICAL SOFTWARE ABSTRACT 1.1 An overview of modern parallel architectures 1.1.1 Instruction-Level Parallel Architectures 1.1.2 Process-Level Parallel...
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