All three prototypes implement the modular multiplication using the popular Montgomery algorithm.Nadia NedjahLuiza de Macedo MourelleSymposium on Computer Architecture and High Performance ComputingNedjah N,De M M.Three hardware implementations for the binary modular exponentiation: sequential, parallel and ...
Therefore, having an efficient implementation of Modular exponentiation is required for modern cryptography. We should begin by addressing the naive solution: to calculate xa(modN) we use our favourite exponentiation algorithm to calculate xa, then reduce the answer modulo N. However, for most ...
Of course there’s still a problem of finding the last two digits of 2^34, because we cannot reduce the exponent any further (it’s already a least residue in the modulus 100). So you cannowproceed with your algorithms, or simply use the well-knownfastalgorithm formodular exponentiation. ...
First, we treat continued fractions (Section2), encodings (Section3), the Binary CFE algorithm (Section4), define Rational Complexity (Section5), and give an example. The second part treats properties of rational complexity such as connections with 2-adic complexity for periodic sequences as wel...
本文利用Torchinsky分解和一种全新的二进制分解得到一个极为有用的L1空间上的Fourier乘子的判定定理。3) binary algorithm 二进制算法 1. This paper studies binary algorithm of modular exponentiation,modifies the computing formula,and designs a novel fast algorithm of modular exponentiation based on binary pa...
5) binary algorithm 二进制算法 1. This paper studiesbinary algorithmof modular exponentiation,modifies the computing formula,and designs a novel fast algorithm of modular exponentiation based on binary partition table searching method. 算法分析和实验结果证明,基于查表法的方幂模二进制快速算法比二进制算法...
A Redundant Binary Algorithm for RSA The normal form and modilied normal form for binary redundant representation are defined. A redundant binary algorithm to compute modular exponentiation fo... 施荣华Shi,RonghuaChangsha,Railway,... - 《Journal of Computer Science\s&\stechnology》 被引量: 0发表...
(h1) entering a delay information necessary for varying a calculation time of the modular exponentiation by the modular exponentiation calculation device; (h2) determining the delay time according to the delay information entered at the step (h1); and ...
Fast Parallel Montgomery Binary Exponentiation Algorithm Using Canonical-Signed-Digit Recoding Technique modular reduction technique, binary method, common-multiplicand-multiplication (CMM) algorithm, and the canonical-signed-digit recoding (CSD) technique. By... CL Wu - International Conference on Algorit...
By using the CMM algorithm of computing the common part from two modular multiplications, the same common part in two modular multiplications can be computed once rather twice, we can thus improve the efficiency of the binary exponentiation algorithm by decreasing the number of modular multiplications...