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Secret sharing is a new alternative for outsourcing data in a secure way.It avoids the need for time consuming encryption decryption process and also the complexity involved in key management.The data must also be protected from untrusted…

Cryptography and Security · Computer Science 2015-02-27 V. P. Binu , A. Sreekumar

Encryption schemes often derive their power from the properties of the underlying algebra on the symbols used. Inspired by group theoretic tools, we use the centralizer of a subgroup of operations to present a private-key quantum…

Quantum Physics · Physics 2020-02-21 Si-Hui Tan , Joshua A. Kettlewell , Yingkai Ouyang , Lin Chen , Joseph F. Fitzsimons

We consider information theoretic secret key agreement and secure function computation by multiple parties observing correlated data, with access to an interactive public communication channel. Our main result is an upper bound on the…

Information Theory · Computer Science 2015-06-01 Himanshu Tyagi , Shun Watanabe

Quantum information scrambling has emerged as a powerful tool for studying the dynamics of chaotic quantum many-body systems, assessing benchmarking protocols, and even investigating exotic black hole models. During quantum information…

Quantum Physics · Physics 2025-12-02 Kiran Adhikari

This work investigates the design of sparse secret sharing schemes that encode a sparse private matrix into sparse shares. This investigation is motivated by distributed computing, where the multiplication of sparse and private matrices is…

Cryptography and Security · Computer Science 2023-08-15 Rawad Bitar , Maximilian Egger , Antonia Wachter-Zeh , Marvin Xhemrishi

Secure sum computation of private data inputs is an interesting example of Secure Multiparty Computation (SMC) which has attracted many researchers to devise secure protocols with lower probability of data leakage. In this paper, we provide…

Cryptography and Security · Computer Science 2010-03-23 Rashid Sheikh , Beerendra Kumar , Durgesh Kumar Mishra

Secret sharing is an instrumental tool for sharing secret keys in distributed systems. In a classical threshold setting, this involves a dealer who has a secret/key, a set of parties/users to which shares of the secret are sent, and a…

Information Theory · Computer Science 2024-05-09 Utkarsh Gupta , Hessam Mahdavifar

We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

Information Theory · Computer Science 2025-12-10 Haoyang Hu , Viveck R. Cadambe

This paper studies the problem of multi-agent computation under the differential privacy requirement of the agents' local datasets against eavesdroppers having node-to-node communications. We first propose for the network equipped with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-06 Lei Wang , Yang Liu , Ian Manchester , Guodong Shi

We show a construction of a quantum ramp secret sharing scheme from a nested pair of linear codes. Necessary and sufficient conditions for qualified sets and forbidden sets are given in terms of combinatorial properties of nested linear…

Information Theory · Computer Science 2018-08-10 Ryutaroh Matsumoto

Disjunctive Hierarchical Secret Sharing (DHSS) scheme is a secret sharing scheme in which the set of all participants is partitioned into disjoint subsets. Each disjoint subset is said to be a level, and different levels have different…

Information Theory · Computer Science 2026-03-19 Jian Ding , Cheng Wang , Haifeng Yu , Hongju Li , Cheng Shu

Quantum secret sharing (QSS) is a cryptographic protocol that leverages quantum mechanics to distribute a secret among multiple parties. With respect to the classical counterpart, in QSS the secret is encoded into quantum states and shared…

Quantum Physics · Physics 2025-02-06 Alessio Di Santo , Walter Tiberti , Dajana Cassioli

With the development of machine learning, it is difficult for a single server to process all the data. So machine learning tasks need to be spread across multiple servers, turning the centralized machine learning into a distributed one.…

Cryptography and Security · Computer Science 2022-05-13 Zoe L. Jiang , Jiajing Gu , Hongxiao Wang , Yulin Wu , Junbin Fang , Siu-Ming Yiu , Wenjian Luo , Xuan Wang

Function Secret Sharing (FSS) schemes enable sharing efficiently secret functions. Schemes dedicated to point functions, referred to as Distributed Point Functions (DPFs), are the center of FSS literature thanks to their numerous…

Cryptography and Security · Computer Science 2026-03-19 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

In the symbolic verification of cryptographic protocols, a central problem is deciding whether a protocol admits an execution which leaks a designated secret to the malicious intruder. Rusinowitch & Turuani (2003) show that, when…

Logic in Computer Science · Computer Science 2024-01-29 R Ramanujam , Vaishnavi Sundararajan , S P Suresh

Quantum secret sharing (QSS) is a cryptographic protocol in which a quantum secret is distributed among a number of parties where some subsets of the parties are able to recover the secret while some subsets are unable to recover the…

Quantum Physics · Physics 2023-05-31 Kaushik Senthoor , Pradeep Kiran Sarvepalli

How to achieve differential privacy in the distributed setting, where the dataset is distributed among the distrustful parties, is an important problem. We consider in what condition can a protocol inherit the differential privacy property…

Cryptography and Security · Computer Science 2017-04-06 Genqiang Wu , Yeping He , Jingzheng Wu , Xianyao Xia

In this paper, an algorithm is aimed to make a cryptosystem for gray level images based on voice features, secret sharing scheme and electromagnetic rotor machine. Here, Shamir secret sharing (k n) threshold scheme is used to secure a key…

Cryptography and Security · Computer Science 2020-11-04 Ashish Kumar , N S Raghava

In this work, we consider the problem of secure multi-party computation (MPC), consisting of $\Gamma$ sources, each has access to a large private matrix, $N$ processing nodes or workers, and one data collector or master. The master is…

Information Theory · Computer Science 2020-04-13 Seyed Reza Hoseini Najarkolaei , Mohammad Ali Maddah-Ali , Mohammad Reza Aref

In secure multiparty computation, mutually distrusting users in a network want to collaborate to compute functions of data which is distributed among the users. The users should not learn any additional information about the data of others…

Information Theory · Computer Science 2016-11-15 Deepesh Data , Bikash Kumar Dey , Manoj Mishra , Vinod M. Prabhakaran