Contrary to previously reported methods, we neither rely on the extended Euclidean algorithm, nor impose conditions on e or f. The main application of our gcd-free technique is the computation of an RSA private key in both standard and CRT modes based on simple modular arithmetic operations, ...
GCD与XGCD
The algorithm will compute the GCD of each input integer with the product of every other input integer, and output the nontrivial common divisors along with a list of input integers which had a nontrivial common divisor. In the simplest case for RSA moduli, the common divisor will be a ...
In this paper, we are designing Arithmetic and Logic Unit(ALU) which is a part of gcd processor, which performs not only arithmetic addition, subtraction, but also calculate greatest common divisor(gcd) of two nonnegative integers using two algorithms via. Euclid's and Stein's Algorithm. Also...
Since RSA key generation and ECDSA need \\(ext{ GCD }\\) computations or modular inversions, which are often computed by Binary Euclidean Algorithm ( \\(ext{ BEA }\\) ) or Binary Extended Euclidean Algorithm ( \\(ext{ BEEA }\\) ), the \\(ext{ SCA }\\) weakness of \\(ext{ ...
LLL algorithmRSA cryptosystemapproximate GCD problemsmall inverse problemWe show a relation between optimal bounds of a small inverse problem and an approximate GCD problem. First, we present a lattice based method to solve small inverse problems with higher degree. The problem is a natural extension...
In this project we propose the idea of using a combination of AES-DES-RSA and incorporating it in the Feistal structure. Being a hybrid of three powerful encryption techniques, the algorithm would be an efficient and re...
Design of an Alternative to Polynomial Modified RSA AlgorithmAbass, Banen NajahYassein, Hassan RashedInternational Journal of Mathematics & Computer Science
Verilog HDL Implementation for an RSA Cryptography using Shift-Sub Modular Multiplication AlgorithmYamin LiWanming ChuJournal of Information Assurance & Security
Because RSA key generation and ECDSA require GCD computations or modular inversions, which are often computed using the binary Euclidean algorithm (BEA) or binary extended Euclidean algorithm (BEEA), the SCA weaknesses of BEA and BEEA become a serious concern. Constant-time GCD (CT-GCD) and ...