Multiplicative inverse is a crucial operation in public key cryptography. Public key cryptography has given rise to such a need, in which we need to generate a related public/private pair of numbers, each of which is the inverse of the other. One of the best methods for calculating the multiplicative inverse is Extended-Euclidean method. In this paper we will propose a new algorithm for calculating the inverse, based on continuous adding of two fraction numbers until an integer is obtained
AbstractThis paper proposes a fast algorithm for computing multiplicative inverses in GF(2m) using n...
The extended Euclidean Algorithm is a practical technique used in many cryptographic applications, w...
In this contribution, we derive a novel parallel formulation of the stan-dard Itoh-Tsujii algorithm ...
Multiplicative inverse is a crucial operation in cryptographic systems; public key cryptography has ...
Numerous cryptographic algorithms (ElGamal, Rabin, RSA, NTRU etc) require multiple computations of m...
In literature, there are a number of cryptographic algorithms (RSA, ElGamal, NTRU, etc.) that requir...
Two familiar algorithms, the extended Euclidean algorithm and the Fermat algorithm (based on Fermat'...
Abstract. This paper describes new algorithms for computing a modular inverse e−1 mod f given coprim...
Let $(p, q)$ be a pair of relatively prime integers greater than $1$. The \emph{pairwise modular mul...
[[abstract]]In 1997, Calvez, Azou, and Vilbé proposed a variation on Euclidean algorithm, which can ...
AbstractIn 1997, Calvez, Azou, and Vilbé proposed a variation on Euclidean algorithm, which can calc...
The order-N Farey fractions, where N is the largest integer satisfying N<= ˆ(p-1)/2, can be mapp...
This thesis introduces a new mathematical object: collection of arithmetic progressions with element...
[[abstract]]In 1997, Calvez, Azou, and Vilbe´ proposed a variation on Euclidean algorithm, which can...
Multiplicative inversion in finite fields is an essential operation in many cryptographic applicatio...
AbstractThis paper proposes a fast algorithm for computing multiplicative inverses in GF(2m) using n...
The extended Euclidean Algorithm is a practical technique used in many cryptographic applications, w...
In this contribution, we derive a novel parallel formulation of the stan-dard Itoh-Tsujii algorithm ...
Multiplicative inverse is a crucial operation in cryptographic systems; public key cryptography has ...
Numerous cryptographic algorithms (ElGamal, Rabin, RSA, NTRU etc) require multiple computations of m...
In literature, there are a number of cryptographic algorithms (RSA, ElGamal, NTRU, etc.) that requir...
Two familiar algorithms, the extended Euclidean algorithm and the Fermat algorithm (based on Fermat'...
Abstract. This paper describes new algorithms for computing a modular inverse e−1 mod f given coprim...
Let $(p, q)$ be a pair of relatively prime integers greater than $1$. The \emph{pairwise modular mul...
[[abstract]]In 1997, Calvez, Azou, and Vilbé proposed a variation on Euclidean algorithm, which can ...
AbstractIn 1997, Calvez, Azou, and Vilbé proposed a variation on Euclidean algorithm, which can calc...
The order-N Farey fractions, where N is the largest integer satisfying N<= ˆ(p-1)/2, can be mapp...
This thesis introduces a new mathematical object: collection of arithmetic progressions with element...
[[abstract]]In 1997, Calvez, Azou, and Vilbe´ proposed a variation on Euclidean algorithm, which can...
Multiplicative inversion in finite fields is an essential operation in many cryptographic applicatio...
AbstractThis paper proposes a fast algorithm for computing multiplicative inverses in GF(2m) using n...
The extended Euclidean Algorithm is a practical technique used in many cryptographic applications, w...
In this contribution, we derive a novel parallel formulation of the stan-dard Itoh-Tsujii algorithm ...