In this paper a novel architecture for implementation of the Euclidean algorithm is presented. It computes the multiplication inverse of a number K for different values of the dimension n (X/sup ...

The Modular Method of Mahjong Keeping track of the game is an exercise in the useful arithmetic of remainders. So is reading a clock.

modular arithmetic extended-euclidean-algorithm polynomial-arithmetic sylvester resultant lagrange-polynomial-interpolation horner-scheme formal-power-series finite-field-arithmetics Updated on Apr 7, ...

Two varieties of this framework are provided: one is based on Gaussian arithmetic with complex modulus and another on an elliptic curve modular equation. The proposed algorithm is illustrated in a ...

Discover the Enhanced Euclid Algorithm for modular multiplicative inverse (MMI). Efficiently compute cryptographic algorithms like ElGamal, Rabin, RSA, NTRU, and more. No need for Backtracking ...

Modular arithmetic is becoming an area of major importance for many modern applications; RNS is widely used in digital signal processing, and most public-key cryptographic algorithms require very fast ...