All Algorithms implemented in Python. Contribute to mohammed-7/Python_Algorithms development by creating an account on GitHub.

Abstract: Let n/d∈Q,m be a positive integer and Let u=n/d mod m. Thus u is the image of a rational number modulo m. The rational reconstruction problem is: given u and m find n/d. Classical Euclidean ...

Abstract: RSA, which based on the great difficulty of integer factorization, is the most widely-used public-key cryptosystem used in electronic commerce. Euclid algorithm and extended Euclid algorithm ...

The Euclidean algorithm works with numbers of any size. To find the greatest common divisor of 77 and 187 using the Euclidean algorithm involves the process of long division, which you might have ...

ABSTRACT: Numerous cryptographic algorithms (ElGamal, Rabin, RSA, NTRU etc) require multiple computations of modulo multiplicative inverses. This paper describes and validates a new algorithm, called ...