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This paper introduces mathematical optimization as a new method for proving impossibility results in the field of card-based cryptography. While previous impossibility proofs were often limited to cases involving a small number of cards,…

Cryptography and Security · Computer Science 2025-11-07 Shunnosuke Ikeda , Kazumasa Shinagawa

How to design fair and (computationally) efficient voting rules is a central challenge in Computational Social Choice. In this paper, we aim at designing efficient algorithms for computing most equitable rules for large classes of…

Computer Science and Game Theory · Computer Science 2024-10-08 Lirong Xia

In this paper, we initiate a study of a new problem termed function computation on the reconciled data, which generalizes a set reconciliation problem in the literature. Assume a distributed data storage system with two users $A$ and $B$.…

Information Theory · Computer Science 2017-07-11 Ivo Kubjas , Vitaly Skachek

In this paper, we present an unconditionally secure $N$-party comparison scheme based on Shamir secret sharing, utilizing the binary representation of private inputs to determine the $\max$ without disclosing any private inputs or…

Cryptography and Security · Computer Science 2024-10-23 Seyed Reza Hoseini Najarkolaei , Mohammad Mahdi Mojahedian , Mohammad Reza Aref

The growing size of modern datasets necessitates splitting a large scale computation into smaller computations and operate in a distributed manner. Adversaries in a distributed system deliberately send erroneous data in order to affect the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-05 Chien-Sheng Yang , A. Salman Avestimehr

Two user secure computation of randomized functions is considered, where only one user computes the output. Both the users are semi-honest; and computation is such that no user learns any additional information about the other user's input…

Cryptography and Security · Computer Science 2016-11-15 Deepesh Data

We study the complexity of securely evaluating arithmetic circuits over finite rings. This question is motivated by natural secure computation tasks. Focusing mainly on the case of two-party protocols with security against malicious…

Cryptography and Security · Computer Science 2008-11-08 Yuval Ishai , Manoj Prabhakaran , Amit Sahai

Federated knowledge discovery and data mining are challenged to assess the trustworthiness of data originating from autonomous sources while protecting confidentiality and privacy. Truth-finding algorithms help corroborate data from…

Cryptography and Security · Computer Science 2023-05-25 Angelo Saadeh , Pierre Senellart , Stéphane Bressan

Secret sharing and multiparty computation (also called "secure function evaluation") are fundamental primitives in modern cryptography, allowing a group of mutually distrustful players to perform correct, distributed computations under the…

Quantum Physics · Physics 2016-11-17 Michael Ben-Or , Claude Crépeau , Daniel Gottesman , Avinatan Hassidim , Adam Smith

Since the negative result of Lo (Physical Review A, 1997), it has been left open whether there exist some functions that can be securely computed in two-party setting in quantum domain when one of the parties is malicious. In this paper, we…

Cryptography and Security · Computer Science 2016-05-03 Arpita Maitra , Goutam Paul , Asim K. Pal

Let E_n={x_i=1, x_i+x_j=x_k, x_i*x_j=x_k: i,j,k \in {1,...,n}}. We prove: (1) there is an algorithm that for every computable function f:N-->N returns a positive integer m(f), for which a second algorithm accepts on the input f and any…

Logic · Mathematics 2013-12-03 Apoloniusz Tyszka

Voting is a commonly applied method for the aggregation of the preferences of multiple agents into a joint decision. If preferences are binary, i.e., "yes" and "no", every voting system can be described by a (monotone) Boolean function…

Computer Science and Game Theory · Computer Science 2016-07-15 Martin Olsen , Sascha Kurz , Xavier Molinero

Let $G=(V,E)$ be a connected undirected graph with $k$ vertices. Suppose that on each vertex of the graph there is a player having an $n$-bit string. Each player is allowed to communicate with its neighbors according to an agreed…

Combinatorics · Mathematics 2016-05-06 Noga Alon , Klim Efremenko , Benny Sudakov

Card-based cryptography uses physical playing cards to construct protocols for secure multi-party computation. Existing card-based protocols employ various types of shuffles, some of which are easy to implement in practice while others are…

Cryptography and Security · Computer Science 2026-05-15 Tomoki Ono , Suthee Ruangwises

A pile-scramble shuffle is one of the most effective shuffles in card-based cryptography. Indeed, many card-based protocols are constructed from pile-scramble shuffles. This article aims to study the power of pile-scramble shuffles. In…

Cryptography and Security · Computer Science 2021-12-17 Kengo Miyamoto , Kazumasa Shinagawa

During recent years with the increase of data and data analysis needs, privacy preserving data analysis methods have become of great importance. Researchers have proposed different methods for this purpose. Secure multi-party computation is…

Cryptography and Security · Computer Science 2019-05-14 Mohammad G. Raeini , Mehrdad Nojoumian

We describe scalable protocols for solving the secure multi-party computation (MPC) problem among a large number of parties. We consider both the synchronous and the asynchronous communication models. In the synchronous setting, our…

Data Structures and Algorithms · Computer Science 2015-09-29 Varsha Dani , Valerie King , Mahnush Movahedi , Jared Saia , Mahdi Zamani

We propose a secure voting protocol for score-based voting rules, where independent talliers perform the tallying procedure. The protocol outputs the winning candidate(s) while preserving the privacy of the voters and the secrecy of the…

Cryptography and Security · Computer Science 2022-01-28 Lihi Dery , Tamir Tassa , Avishay Yanai

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

For k <= n, let E(2n,k) be the sum of all multiple zeta values with even arguments whose weight is 2n and whose depth is k. Of course E(2n,1) is the value of the Riemann zeta function at 2n, and it is well known that E(2n,2) = (3/4)E(2n,1).…

Number Theory · Mathematics 2017-02-14 Michael E. Hoffman