Abstract: Hardware implementation of the extended Euclidean algorithm (EEA) over ternary field introduces many challenges, include degree evaluations during and after each iteration of the algorithm.

Abstract: A new parallelization of the extended Euclidean GCD algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O/sub eps/(n/log n) using ...

A library for number theory and modular arithmetic algorithms in Python e.g. Pollard Rho, Miller–Rabin primality test, Cipolla, etc.

1 Grupo de Investigación de Análisis Matemático, Instituto de Formación docente Salomé Ureña, Santo Domingo, D.N., República Dominicana. 2 Wake Forest University, Winstom-Salem, NC, USA. In this paper ...

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

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 ...