The quest to make Residue Number System (RNS) based processors a reality, has made
researchers to continue seeking solutions to some of the limiting factors of RNS based …

In this paper, a new four moduli set {2 n/2±1, 2 2n+ 1, 2 n+ 1} is proposed together with a two
level Chinese Remainder Theorem (CRT) based reverse converter for efficient residue …

This paper proposes a fast Mixed Radix Conversion based reverse converter for the recently
proposed moduli set. It shows that the computation of multiplicative inverses could be …

Improving the performance and speed of encryption algorithms is an important issue in
cryptography. One of these improvements is the use of the RNS system. In the research, the …

In this paper, we propose an area efficient reverse converter for the moduli set {2 n, 2 2n+ 1-
1, 2 n-1}. We show that the required multiplicative inverses are either unity or powers of two …

This thesis proposed several schemes for improving the speed and security of Rivest Shamir
Adleman (RSA) cryptosystem. RSA is known to be the most popular and widely used public …

АНОТАЦІЯ Волинський ОІ Методи побудови високопродуктивних спецпроцесорів на
основі теоретико-числового базису Крестенсона.–Рукопис. Дисертація на здобуття …

This paper seeks to improve the performance of the New Chinese Remainder Theorem
(CRT) using the new moduli set {22𝑛+ 2+ 3, 22𝑛+ 1+ 1, 22𝑛+ 1, 2}. This optimization is very …

АНОТАЦІЇ Піх ВЯ Процесори спектрального косинусного перетворення фур'є на основі
різних кореляційних функцій та теоретико-числових базисів.–На правах рукопису …

This paper seeks to improve the performance of the New Chinese Remainder Theorem
(CRT) using the new moduli set {2^(2n+ 2)+ 3, 2^(2n+ 1)+ 1, 2^ 2n+ 1, 2}. This optimization …