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The Knapsack problem is one of the most fundamental NP-complete problems at the intersection of computer science, optimization, and operations research. A recent line of research worked towards understanding the complexity of…

数据结构与算法 · 计算机科学 2024-02-27 Karl Bringmann

Among the most challenging traffic-analysis attacks to confound are those leveraging the sizes of objects downloaded over the network. In this paper we systematically analyze this problem under realistic constraints regarding the padding…

密码学与安全 · 计算机科学 2021-08-05 Andrew C. Reed , Michael K. Reiter

The simulations indicate that the existing hard thresholding technique independent of the residual function may cause a dramatic increase or numerical oscillation of the residual. This inherit drawback of the hard thresholding renders the…

信息论 · 计算机科学 2019-09-04 Yun-Bin Zhao

Shamir's celebrated secret sharing scheme provides an efficient method for encoding a secret of arbitrary length $\ell$ among any $N \leq 2^\ell$ players such that for a threshold parameter $t$, (i) the knowledge of any $t$ shares does not…

密码学与安全 · 计算机科学 2018-12-14 Fuchun Lin , Mahdi Cheraghchi , Venkatesan Guruswami , Reihaneh Safavi-Naini , Huaxiong Wang

We consider the classical secret sharing problem in the case where all agents are selfish but rational. In recent work, Kol and Naor show that, when there are two players, in the non-simultaneous communication model, i.e. when rushing is…

数据结构与算法 · 计算机科学 2012-05-04 Varsha Dani , Mahnush Movahedi , Jared Saia

We address security and privacy problems for digital devices and biometrics from an information-theoretic optimality perspective, where a secret key is generated for authentication, identification, message encryption/decryption, or secure…

信号处理 · 电气工程与系统科学 2021-01-11 Onur Günlü , Rafael F. Schaefer

Knapsack is one of the most fundamental problems in theoretical computer science. In the $(1 - \epsilon)$-approximation setting, although there is a fine-grained lower bound of $(n + 1 / \epsilon) ^ {2 - o(1)}$ based on the $(\min,…

数据结构与算法 · 计算机科学 2025-08-12 Xiao Mao

We improve the solution of the classical prisoners and drawers riddle, where all prisoners can find their number using the pointer-following strategy, provided that the prisoners can send a spy to inspect all drawers and swap one pair of…

组合数学 · 数学 2024-07-11 Uri Mendlovic

In an on-line secret sharing scheme the dealer assigns shares in the order the participants show up, knowing only those qualified subsets whose all members she has seen. We assume that the overall access structure is known and only the…

信息论 · 计算机科学 2014-02-07 Laszlo Csirmaz , Gábor Tardos

Cryptographic protocols are often implemented at upper layers of communication networks, while error-correcting codes are employed at the physical layer. In this paper, we consider utilizing readily-available physical layer functions, such…

信息论 · 计算机科学 2021-01-26 Nasser Aldaghri , Hessam Mahdavifar

In this report, I explained the problem of Secret Sharing Scheme. Then based on the definition of the problem, two old methods: Blakley's Secret Sharing Scheme and Shamir's Secret Sharing are introduced. However, we explained the details of…

密码学与安全 · 计算机科学 2019-01-10 Alireza Shamsoshoara

We investigate the concept of quantum secret sharing. In a ((k,n)) threshold scheme, a secret quantum state is divided into n shares such that any k of those shares can be used to reconstruct the secret, but any set of k-1 or fewer shares…

量子物理 · 物理学 2009-10-31 Richard Cleve , Daniel Gottesman , Hoi-Kwong Lo

We study the maximum $k$-set coverage problem in the following distributed setting. A collection of sets $S_1,\ldots,S_m$ over a universe $[n]$ is partitioned across $p$ machines and the goal is to find $k$ sets whose union covers the most…

数据结构与算法 · 计算机科学 2018-08-24 Sepehr Assadi , Sanjeev Khanna

An ideal secret sharing scheme is a method of sharing a secret key in some key space among a finite set of participants in such a way that only the authorized subsets of participants can reconstruct the secret key from their shares which…

组合数学 · 数学 2023-04-19 Ryoh Fuji-Hara , Ying Miao

Threshold cryptography has gained momentum in the last decades as a mechanism to protect long term secret keys. Rather than having a single secret key, this allows to distribute the ability to perform a cryptographic operation such as…

密码学与安全 · 计算机科学 2024-08-30 Florian Le Mouël , Maxime Godon , Renaud Brien , Erwan Beurier , Nora Boulahia-Cuppens , Frédéric Cuppens

There are several methods for constructing secret sharing schemes, one of which is based on coding theory. Theoretically, every linear code can be used to construct secret sharing schemes. However, in general, determining the access…

密码学与安全 · 计算机科学 2013-09-06 Yun Song , Zhihui Li

Quantum secret sharing is an encryption technique based on quantum mechanics, which utilizes uncertainty principle to achieve security in transmission. Most protocols focus on the study of quantum ($n,n$) or ($t,n$) threshold single secret…

量子物理 · 物理学 2025-05-15 Rui-Hai Ma , Hui-Nan Chen , Bin-Bin Cai , Song Lin , Xiao-Chen Zhang

Secret sharing schemes create an effective method to safeguard a secret by dividing it among several participants. By using hash functions and the herding hashes technique, we first set up a (t+1, n) threshold scheme which is perfect and…

密码学与安全 · 计算机科学 2011-11-08 Chi Sing Chum , Xiaowen Zhang

A new grayscale image encryption algorithm based on $(k,n)$ threshold secret sharing is proposed. The scheme allows a secret image to be transformed into $n$ shares, where any $k \le n$ shares can be used to reconstruct the secret image,…

密码学与安全 · 计算机科学 2014-08-25 El-Tigani B. Abdelsatir , Sahar Salahaldeen , Hyam Omar , Afra Hashim

Data shuffling between distributed cluster of nodes is one of the critical steps in implementing large-scale learning algorithms. Randomly shuffling the data-set among a cluster of workers allows different nodes to obtain fresh data…

信息论 · 计算机科学 2018-01-08 Mohamed A. Attia , Ravi Tandon