Results 11 to 20 of about 2,320 (298)
Sharing DSS by the Chinese Remainder Theorem
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Kamer Kaya, Ali Aydin Selçuk
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A new chinese remainder algorithm for image-based encryption
In this paper, a novel method for image encryption based on a Generalized Chinese Remainder Theorem (GCRT) is presented. The proposed method is based on the work developed by Jagannathan et al.
Sergio Duarte +2 more
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Polynomial congruence can be solved by applying Hensel’s Lemma. However, Hensel’s Lemma itself does not apply to solving generalized polynomial congruences. The purpose of this research is to determine the recursive formula for the solution of polynomial
Eka Oktaviansyah +2 more
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Partition theorems and the Chinese Remainder Theorem
The famous partition theorem of Euler states that partitions of $n$ into distinct parts are equinumerous with partitions of $n$ into odd parts. Another famous partition theorem due to MacMahon states that the number of partitions of $n$ with all parts repeated at least once equals the number of partitions of $n$ where all parts must be even or ...
Chen, Shi-Chao
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Symmetries of directed graphs and the Chinese remainder theorem
AbstractIt is shown that a permutation group on a finite set is the automorphism group of some directed graph if and only if a generalized Chinese remainder theorem holds for the family of stabilizers. This result can be applied to examine some special permutation groups, including the general linear groups of finite vector spaces.
Foldes, Stephane, Stephane Foldes
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Selected application of the Chinese Remainder Theorem in multiparty computation [PDF]
In this paper we present protocols checking the equality of two distributed numbers and calculation of the product in such a way that the distributed numbers are unknown to anyone. The presented protocols use the Chinese Remainder Theorem.
Artur Jakubski
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Solving selected problems on the Chinese remainder theorem [PDF]
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.
Ďuriš, Viliam +2 more
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The complexity of the Chinese Remainder Theorem
The Chinese Remainder Theorem for the integers says that every system of congruence equations is solvable as long as the system satisfies an obvious necessary condition. This statement can be generalized in a natural way to arbitrary algebraic structures using the language of Universal Algebra.
Miguel Campercholi +2 more
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Research and design of CRT-based homomorphic ciphertext database system
The cloud’s storage and query of private information have the cryptographic scholar due to the proliferation of cloud computing. In the traditional query mode, the private information stored in the cloud is at risk of being leaked. In order to solve this
De Zhao +4 more
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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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