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Protocol sequences are used for channel access in the collision channel without feedback. Each user accesses the channel according to a deterministic zero-one pattern, called the protocol sequence. In order to minimize fluctuation of…

Information Theory · Computer Science 2010-11-10 Kenneth W. Shum , Wing Shing Wong

Conjunctive Hierarchical Secret Sharing (CHSS) is a type of secret sharing that divides participants into multiple distinct hierarchical levels, with each level having a specific threshold. An authorized subset must simultaneously meet the…

Cryptography and Security · Computer Science 2026-03-24 Jian Ding , Cheng Wang , Hongju Li , Cheng Shu , Haifeng Yu

High-speed long polynomial multiplication is important for applications in homomorphic encryption (HE) and lattice-based cryptosystems. This paper addresses low-latency hardware architectures for long polynomial modular multiplication using…

Hardware Architecture · Computer Science 2024-03-21 Weihang Tan , Sin-Wei Chiu , Antian Wang , Yingjie Lao , Keshab K. Parhi

We study the fundamental problem of \emph{moduli selection} in the Robust Chinese Remainder Theorem (RCRT), where each residue may be perturbed by a bounded error. Consider $L$ moduli of the form $m_i = \Gamma_i m$ ($1 \le i \le L$), where…

Signal Processing · Electrical Eng. & Systems 2025-12-01 Wenyi Yan , Lu Gan , Hongqing Liu , Shaoqing Hu

In this paper, new results on convolution of spectral components in binary fields have been presented for combiatorial sequences. A novel method of convolution of DFT points through Chinese Remainder Theorem (CRT) is presented which has…

Information Theory · Computer Science 2019-11-27 Muhammad Asad Khan , Sajid Saleem , Amir A Khan

The practical application of a new class of coprime arrays based on the Chinese remainder theorem (CRT) over quadratic fields is presented in this paper. The proposed CRT arrays are constructed by ideal lattices embedded from coprime…

Signal Processing · Electrical Eng. & Systems 2019-04-30 Conghui Li , Lu Gan , Cong Ling

With the rapid development of MANET, secure and practical authentication is becoming increasingly important. The existing works perform the research from two aspects, i.e., (a)secure key division and distributed storage, (b)secure…

Cryptography and Security · Computer Science 2013-07-12 Qiwei Lu , Wenchao Huang , Xudong Gong , Xingfu Wang , Yan Xiong , Fuyou Miao

The problem of robustly reconstructing a large number from its erroneous remainders with respect to several moduli, namely the robust remaindering problem, may occur in many applications including phase unwrapping, frequency detection from…

Information Theory · Computer Science 2017-04-05 Li Xiao , Xiang-Gen Xia , Haiye Huo

Variations on a theorem of Cand\`es, Romberg and Tao The CRT theorem reconstructs a signal from a sparse set of frequencies, a paradigm of Compressed sensing. The signal is assumed to be carried by a small number of points, s, in a large…

Classical Analysis and ODEs · Mathematics 2012-10-16 Jean-Pierre Kahane

Data replication is used in distributed systems to maintain up-to-date copies of shared data across multiple computers in a network. However, despite decades of research, algorithms for achieving consistency in replicated systems are still…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-30 Victor B. F. Gomes , Martin Kleppmann , Dominic P. Mulligan , Alastair R. Beresford

Ananda Mohan suggested that the first New Chinese Remainder Theorem introduced by Wang can be derived from the constructive proof of the well-known Chinese Remainder Theorem (CRT) and claimed that Wang's approach is the same as the one…

Other Computer Science · Computer Science 2009-03-23 Jean-Luc Beuchat

Recently, a chaotic image encryption algorithm based on perceptron model was proposed. The present paper analyzes security of the algorithm and finds that the equivalent secret key can be reconstructed with only one pair of…

Cryptography and Security · Computer Science 2011-11-08 Yu Zhang , Chengqing Li , Qin Li , Dan Zhang , Shi Shu

In Shamir's secret sharing scheme, all participants possess equal privileges. However, in many practical scenarios, it is often necessary to assign different levels of authority to different participants. To address this requirement,…

Cryptography and Security · Computer Science 2026-04-14 Jian Ding , Cheng Wang , Hongju Li , Cheng Shu , Haifeng Yu

The need for fast and strong image cryptosystems motivates researchers to develop new techniques to apply traditional cryptographic primitives in order to exploit the intrinsic features of digital images. One of the most popular and mature…

Cryptography and Security · Computer Science 2016-01-01 Leo Yu Zhang , Yuansheng Liu , Kwok-Wo Wong , Fabio Pareschi , Yushu Zhang , Riccardo Rovatti , Gianluca Setti

Disjunctive Hierarchical Secret Sharing (DHSS)} scheme is a type of secret sharing scheme in which the set of all participants is partitioned into disjoint subsets, and each subset is said to be a level with different degrees of trust and…

Cryptography and Security · Computer Science 2026-03-18 Hongju Li , Jian Ding , Fuyou Miao , Cheng Wang , Cheng Shu

Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

We investigate secret key rates for the quantum repeater using encoding [L. Jiang et al., Phys. Rev. A 79, 032325 (2009)] and compare them to the standard repeater scheme by Briegel, D\"ur, Cirac, and Zoller. The former scheme has the…

Quantum Physics · Physics 2014-04-25 Sylvia Bratzik , Hermann Kampermann , Dagmar Bruß

Chinese Spell Checking (CSC) is a widely used technology, which plays a vital role in speech to text (STT) and optical character recognition (OCR). Most of the existing CSC approaches relying on BERT architecture achieve excellent…

Computation and Language · Computer Science 2024-11-21 Ming Dong , Yujing Chen , Miao Zhang , Hao Sun , Tingting He

A recent work of Harn and Fuyou presents the first multilevel (disjunctive) threshold secret sharing scheme based on the Chinese Remainder Theorem. In this work, we first show that the proposed method is not secure and also fails to work…

Cryptography and Security · Computer Science 2016-05-26 Oguzhan Ersoy , Kamer Kaya , Kerem Kaskaloglu

Composed Image Retrieval (CIR) uses a reference image and a modification text as a query to retrieve a target image satisfying the requirement of ``modifying the reference image according to the text instructions''. However, existing CIR…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Guozhi Qiu , Zhiwei Chen , Zixu Li , Qinlei Huang , Zhiheng Fu , Xuemeng Song , Yupeng Hu