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Generalizing a boolean function from Cleve and Buhrman \cite{cb:sqec}, we consider the class of {\it accumulative boolean functions} of the form $f_B(X_1,X_2,..., X_m)=\bigoplus_{i=1}^n t_B(x_i^1x_i^2... x_i^m)$, where…

Quantum Physics · Physics 2007-05-23 Sudebkumar Prasant Pal , Sima Das , Somesh Kumar

Threshold secret sharing schemes do not prevent any malicious behavior of the dealer or shareholders and so we need verifiable secret sharing, to detect and identify the cheaters, to achieve fair reconstruction of a secret. The problem of…

Cryptography and Security · Computer Science 2012-03-19 Keyur Parmar , Devesh Jinwala

We propose pretty simple password-authenticated key-exchange protocol which is based on the difficulty of solving DDH problem. It has the following advantages: (1) Both $y_1$ and $y_2$ in our protocol are independent and thus they can be…

Cryptography and Security · Computer Science 2007-05-23 Kazukuni Kobara , Hideki Imai

We consider an instance of the following problem: Parties P_1,..., P_k each receive an input x_i, and a coordinator (distinct from each of these parties) wishes to compute f(x_1,..., x_k) for some predicate f. We are interested in one-round…

Computational Complexity · Computer Science 2013-01-22 Daniel Apon , Jonathan Katz , Alex J. Malozemoff

Privacy-preserving machine learning enables the training of models on decentralized datasets without the need to reveal the data, both on horizontal and vertically partitioned data. However, it relies on specialized techniques and…

Cryptography and Security · Computer Science 2023-02-14 Florian van Daalen , Inigo Bermejo , Lianne Ippel , Andre Dekker

We consider a coded cooperative data exchange problem with the goal of generating a secret key. Specifically, we investigate the number of public transmissions required for a set of clients to agree on a secret key with probability one,…

Information Theory · Computer Science 2014-07-02 Thomas A. Courtade , Thomas R. Halford

The discrete logarithm problem in a finite group is the basis for many protocols in cryptography. The best general algorithms which solve this problem have time complexity of $\mathcal{O}(\sqrt{N}\log N)$, and a space complexity of…

Computational Complexity · Computer Science 2022-03-16 Simran Tinani , Joachim Rosenthal

A multi-party quantum key distribution protocol based on repetitive code is designed for the first time in this paper. First we establish a classical (t, n) threshold protocol which can authenticate the identity of the participants, and…

Quantum Physics · Physics 2020-12-22 Lei Li , Zhi Li

We present new two-party protocols for the Unbalanced Private Set Union (UPSU) problem. Here, the Sender holds a set of data points, and the Receiver holds another (possibly much larger) set, and they would like for the Receiver to learn…

Cryptography and Security · Computer Science 2025-11-19 Jean-Guillaume Dumas , Alexis Galan , Bruno Grenet , Aude Maignan , Daniel S. Roche

This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

Optimization and Control · Mathematics 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

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

Encrypted control systems allow to evaluate feedback laws on external servers without revealing private information about state and input data, the control law, or the plant. While there are a number of encrypted control schemes available…

Systems and Control · Electrical Eng. & Systems 2022-01-14 Sebastian Schlor , Michael Hertneck , Stefan Wildhagen , Frank Allgöwer

In previous work (arXiv:0910.5714), we introduced the Privacy Approximation Ratio (PAR) and used it to study the privacy of protocols for second-price Vickrey auctions and Yao's millionaires problem. Here, we study the PARs of multiple…

Cryptography and Security · Computer Science 2010-06-10 Joan Feigenbaum , Aaron D. Jaggard , Michael Schapira

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…

Cryptography and Security · Computer Science 2024-08-30 Florian Le Mouël , Maxime Godon , Renaud Brien , Erwan Beurier , Nora Boulahia-Cuppens , Frédéric Cuppens

A commitment scheme is a cryptographic tool that allows one to commit to a hidden value, with the option to open it later at requested places without revealing the secret itself. Commitment schemes have important applications in…

Cryptography and Security · Computer Science 2023-06-22 Ihyun Nam

In this paper, we consider a secure multi-party computation problem (MPC), where the goal is to offload the computation of an arbitrary polynomial function of some massive private matrices (inputs) to a cluster of workers. The workers are…

Information Theory · Computer Science 2020-09-16 Hanzaleh Akbari Nodehi , Mohammad Ali Maddah-Ali

In the $\left( {t,n} \right)$ threshold quantum secret sharing scheme, it is difficult to ensure that internal participants are honest. In this paper, a verifiable $\left( {t,n} \right)$ threshold quantum secret sharing scheme is designed…

Cryptography and Security · Computer Science 2020-08-26 Li-Juan Liu , Zhi-Hui Li , Zhao-Wei Han , Dan-Li Zhi

Secret Sharing techniques are now the building blocks of several security protocols. A (t;n) threshold secret sharing scheme is one in which t or more participant can join together to retrieve the secret.Traditional single secret sharing…

Cryptography and Security · Computer Science 2016-04-01 V P Binu , A Sreekumar

In this letter, we delve into a scenario where a user aims to compute polynomial functions using their own data as well as data obtained from distributed sources. To accomplish this, the user enlists the assistance of $N$ distributed…

Cryptography and Security · Computer Science 2023-09-19 Zhiquan Tan , Dingli Yuan , Zhongyi Huang

We investigate definitions of and protocols for multi-party quantum computing in the scenario where the secret data are quantum systems. We work in the quantum information-theoretic model, where no assumptions are made on the computational…

Quantum Physics · Physics 2007-05-23 Adam Smith
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