Hierarchical Encryption in a Residual Number System

Within this article, a method of symmetric encryption of information based on a hierarchical residue number system has been developed. The corresponding mathematical and algorithmic framework is presented. The proposed approach simplifies hardware implementation and enhances operational speed by red...

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Main Authors: Yakymenko, Igor, Martyniuk, Olesya, Martyniuk, Serhii, Martyniuk, Andrii, Yakymenko, Yurii, Kasianchuk, Mykhailo
Format: Conference Proceeding
Language:English
Subjects:
Chinese Remainder Theorem
Encryption
encryption/decryption process
Hardware
hierarchical residue number systems
Information technology
module
Reliability
residues
Streams
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creator Yakymenko, Igor
Martyniuk, Olesya
Martyniuk, Serhii
Martyniuk, Andrii
Yakymenko, Yurii
Kasianchuk, Mykhailo
description Within this article, a method of symmetric encryption of information based on a hierarchical residue number system has been developed. The corresponding mathematical and algorithmic framework is presented. The proposed approach simplifies hardware implementation and enhances operational speed by reducing modulus sizes and consequently numerical operands at each subsequent level, as well as by parallelizing computational processes. Utilizing this encryption method enables the creation of reliable, efficient, and resistant-to-cryptanalysis systems for protecting information streams. A encryption/decryption scheme and an application example of the method are provided.
doi_str_mv 10.1109/ACIT62333.2024.10712567
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source IEEE Xplore All Conference Series
subjects Chinese Remainder Theorem
Encryption
encryption/decryption process
Hardware
hierarchical residue number systems
Information technology
module
Reliability
residues
Streams
title Hierarchical Encryption in a Residual Number System
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