In this paper, memory optimization and architectural level modifications are introduced for
realizing the low power residue number system (RNS) with improved flexibility for …

Ensuring reliable data storage in a cloud environment is a challenging problem. One of the
efficient mechanisms used to solve it is the Redundant Residue Number System (RRNS) …

The security issues that arise in public cloud environments raise several concerns about
privacy-preserving. Conventional security practices successfully protect stored and …

The paper suggests an algorithm for finding Residue Number Systems (RNS) with six
modules (6-tuples) with the Sum of Quotients SQ= 2 k for some positive integer k. It is shown …

Fully Homomorphic Encryption (FHE) permits processing information in the form of
ciphertexts without decryption. It can ensure the security of information in common …

Система остаточных классов (СОК).--это непозиционная система счисления,
являющаяся альтернативой двоичному представлению чисел. В~ СОК большое целое …

A non-positional residue number system (RNS) enjoys particularly efficient implementation
of addition and multiplication, but non-modular arithmetic operations in RNS-like number …

The use of cloud technologies for processing confidential data requires a solution to the data
security problem. One of the mechanisms to solve it is homomorphic encryption. However …

This paper proposes new symmetric cryptography algorithms of Residue Number System
and its Modified Perfect Form. According to the first method, ciphertext is regarded as a set of …

The operation of number comparison is widely used in the implementation of most modern
algorithms. The implementation of the algorithm for number comparison in the Residue …