Present paper shows that the system of residual classes is quite promising for usage in
modern computing systems, especially for performing operations with multi-digit numbers …

This paper contains the elaboration of the effective remaining classes system method based
on vector-modular multiplication which allows to decrease the time-complication and to …

This paper presents a comprehensive knowledge mapping and in-depth analysis of the
application of residue number system in encryption technique research to understand better …

The paper presents the theoretical foundations of the modified perfect form of residue
number system. The method is developed to select a set of three modules, which form …

The relevance of solving the priority improvement problem for functional and computational
components of microelectronics for arithmetic and logic unit (ALU) of modern …

In this paper, we develop the theoretical provisions of symmetric cryptographic algorithms
based on the polynomial residue number system for the first time. The main feature of the …

This paper presents the theoretical foundations of finding the inverse of a polynomial
modulo in the ring Z [x] based on the method of undetermined coefficients. The use of the …

Знаходження мультиплікативного оберненого елемента за модулем дуже часто є
необхідною умовою для розв'язування багатьох задач сучасної теорії чисел …

This paper substantiates the urgency of developing theoretical foundations, methods, and
algorithms for cryptographic protection of color image pixels using problem-oriented …

In this paper we proposed correcting codes-based on modular arithmetic-to improve the
data transmission robustness in wireless sensor networks. We developed a new method …