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Research and application of Chinese remainder theorem
Theoretical and Natural Science, 2023 The Chinese remainder theorem (denoted it as " the theorem" in this article) was originally an important theorem in number theory. It played a vital role in the integer solution of the congruence equation in ancient times. With the continuous development
Qinnan Luo
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A Reversible Data Hiding Scheme in Encrypted Domain for Secret Image Sharing Based on Chinese Remainder Theorem [PDF]
IEEE transactions on circuits and systems for video technology (Print), 2020 Schemes of reversible data hiding in encrypted domain (RDH-ED) based on symmetric or public key encryption are mainly applied in the scenarios of end-to-end communication.
Yan Ke +5 more
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Chinese remainder theorem secret sharing in multivariate polynomials
Журнал Белорусского государственного университета: Математика, информатика, 2019 This paper deals with a generalization of the secret sharing using Chinese remainder theorem over the integers to multivariate polynomials over a finite field. We work with the ideals and their Gröbner bases instead of integer moduli.
Gennadii V. Matveev
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Journal of the Franklin Institute, 1992 Taking a problem from a Chinese mathematical classic, the authors give a slightly generalised algorithm corresponding to what is known as the ``Chinese remainder theorem''. There are many historical inaccuracies in the paper, and no mathematical innovations.
Ku, Y. H., Sun, Xiaoguang
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Efficient Batch Fully Homomorphic Encryption with a Shorter Key from Ring-LWE
Applied Sciences, 2022 Fully homomorphic encryption allows users to use the computing resources of cloud servers for the computation of encrypted data without worrying about data leakage.
Yuyue Chen, Ruwei Huang, Bo Yang
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Solving selected problems on the Chinese remainder theorem
Annales Mathematicae et Informaticae, 2022 The Chinese remainder theorem provides the solvability conditions for the system of linear congruences. In section 2 we present the construction of the solution of such a system.
Viliam Ďuriš +2 more
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RESEARCH OF EFFECTIVE METHODS OF CONVERSION FROM RNS TO POSITIONAL NOTATION ON FPGA
Современная наука и инновации, 2022 In the article different methods of conversion numbers from the residue number system to the binary number system was investigated. The simulation on the FPGA is performed, which implies that the approximate method based on the Chinese remainder theorem ...
N. N. Chervyakov +3 more
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Scaling function based on Chinese remainder theorem applied to a recursive filter design [PDF]
Serbian Journal of Electrical Engineering, 2014 Implementation of IIR filters in residue number system (RNS) architecture is more complex in comparison to FIR filters, due to introduction of the scaling function.
Stamenković Negovan +2 more
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IEEE Transactions on Dependable and Secure Computing, 2019 Existing security and identity-based vehicular communication protocols used in Vehicular Ad-hoc Networks (VANETs) to achieve conditional privacy-preserving mostly rely on an ideal hardware device called tamper-proof device (TPD) equipped in vehicles ...
Jing Zhang +4 more
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Analytical Comparison Of RSA And RSA With Chinese Remainder Theorem
JISR on Computing, 2016 RSA encryption algorithm is one of the most powerful public key encryption algorithm. The problem with RSA algorithm is that RSA decryption is relatively slow in comparison to RSA encryption.
Ankur Mantri +4 more
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