On Solving Ambiguity Resolution With Robust Chinese Remainder Theorem for Multiple Numbers

Robust Threshold Schemes Based on the Chinese Remainder Theorem

Recently, Chinese Remainder Theorem (CRT) based function sharing schemes are proposed in the literature. In this paper, we investigate how a CRT-based threshold scheme can be enhanced with the robustness property. To the best of our knowledge, these are the first robust threshold cryptosystems based on a CRT-based secret sharing.

Computing Fibonacci Numbers Fast using the Chinese Remainder Theorem

The purpose of this paper is to investigate the calculation of Fibonacci numbers using the Chinese Remainder Theorem (CRT). This paper begins by laying down some general conclusions that can be made about the Fibonacci sequence. It will then go into specific cases of the CRT and how to calculate Fibonacci numbers with reduced forms of the CRT equations. For each of the cases, algorithms and ana...

The Chinese Remainder Theorem

On Solving a Generalized Chinese Remainder Theorem in the Presence of Remainder Errors

In estimating frequencies given that the signal waveforms are undersampled multiple times, Xia and his collaborators proposed to use a generalized version of Chinese remainder Theorem (CRT), where the moduli are dm1, dm2, · · · , dmk with m1,m2, · · · ,mk being pairwise coprime. If the errors of the corrupted remainders are within d 4 , their schemes are able to construct an approximation of th...

IP traceback based on chinese remainder theorem

IP traceback is a defense method to help a victim to identifying the sources of attacking packets. In this paper, we propose an IP traceback method based on the Chinese Remainder Theorem to require routers to probabilistically mark packets with partial path information when packets traverse routers through the Internet. The routers with the proposed IP traceback method can interoperate seamless...