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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 this work we describe a token-based solution to Contact Tracing via Distributed Point Functions (DPF) and, more generally, Function Secret Sharing (FSS). The key idea behind the solution is that FSS natively supports secure keyword…

Cryptography and Security · Computer Science 2020-12-25 Samuel Dittmer , Yuval Ishai , Steve Lu , Rafail Ostrovsky , Mohamed Elsabagh , Nikolaos Kiourtis , Brian Schulte , Angelos Stavrou

Distributed Point Functions (DPFs) enable sharing secret point functions across multiple parties, supporting privacy-preserving technologies such as Private Information Retrieval, and anonymous communications. While 2-party PRG-based…

Cryptography and Security · Computer Science 2025-09-29 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

In this paper, we study the problem of information-theoretic distributed multi-user point function, involving a trusted master node, $N \in \mathbb{N}$ server nodes, and $K\in \mathbb{N}$ users, where each user has access to the contents of…

Information Theory · Computer Science 2025-09-08 Ali Khalesi , Bahareh Akhbari

Authenticated private information retrieval (APIR) is the state-of-the-art error-detecting private information retrieval (ED-PIR), using Distributed Point Functions (DPFs) for subpolynomial complexity and privacy. However, its finite field…

Cryptography and Security · Computer Science 2026-04-02 Pengzhen Ke , Liang Feng Zhang , Huaxiong Wang , Li-Ping Wang

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

Conditional disclosure of secrets (CDS) allows multiple parties to reveal a secret to a third party if and only if some pre-decided condition is satisfied. In this work, we bolster the privacy guarantees of CDS by introducing…

Cryptography and Security · Computer Science 2021-10-11 Nolan Miranda , Foo Yee Yeo , Vipin Singh Sehrawat

Functional encryption introduces a new paradigm of public key encryption that decryption only reveals the function value of encrypted data. To curb key leakage issues and trace users in FE-IP, a new primitive called traceable functional…

Cryptography and Security · Computer Science 2024-04-16 Muyao Qiu , Jinguang Han

Distributed storage plays an essential role in realizing robust and secure data storage in a network over long periods of time. A distributed storage system consists of a data owner machine, multiple storage servers and channels to link…

Quantum Physics · Physics 2016-07-05 Mikio Fujiwara , Atsushi Waseda , Ryo Nojima , Shiho Moriai , Wakaha Ogata , Masahide Sasaki

Distributed algorithms enable private Optimal Power Flow (OPF) computations by avoiding the need in sharing sensitive information localized in algorithms sub-problems. However, adversaries can still infer this information from the…

Optimization and Control · Mathematics 2020-03-23 Vladimir Dvorkin , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

This work considers the problem of privately outsourcing the computation of a matrix product over a finite field $\mathbb{F}_q$ to $N$ helper servers. These servers are considered to be honest but curious, i.e., they behave according to the…

Information Theory · Computer Science 2022-01-12 Jie Li , Okko Makkonen , Camilla Hollanti , Oliver Gnilke

A computational secret-sharing scheme is a method that enables a dealer, that has a secret, to distribute this secret among a set of parties such that a "qualified" subset of parties can efficiently reconstruct the secret while any…

Cryptography and Security · Computer Science 2015-06-02 Ilan Komargodski , Moni Naor , Eylon Yogev

Motivated by the increasing demand for data security in decentralized federated learning (FL) and stochastic optimization, we formulate and investigate the problem of information-theoretic \emph{decentralized secure aggregation} (DSA).…

Information Theory · Computer Science 2026-03-24 Xiang Zhang , Zhou Li , Shuangyang Li , Kai Wan , Derrick Wing Kwan Ng , Giuseppe Caire

Data mining has made broad significant multidisciplinary field used in vast application domains and extracts knowledge by identifying structural relationship among the objects in large data bases. Privacy preserving data mining is a new…

Cryptography and Security · Computer Science 2013-04-17 Pasupuleti Rajesh , Gugulothu Narsimha

Federated learning (FL) offers a privacy-preserving approach to machine learning for multiple collaborators without sharing raw data. However, the existence of non-independent and non-identically distributed (non-IID) datasets across…

Cryptography and Security · Computer Science 2024-06-17 Yuping Yan , Yizhi Wang , Yingchao Yu , Yaochu Jin

In this work, we present the \emph{twiddless fast Fourier transform (TFFT)}, a novel algorithm for computing the $N$-point discrete Fourier transform (DFT). The TFFT's divide strategy builds on recent results that decimate an $N$-point…

Computational Complexity · Computer Science 2025-12-23 Saulo Queiroz

Secret sharing schemes based on the idea of hidden multipliers in encryption are proposed. As a platform, one can use both multiplicative groups of finite fields and groups of invertible elements of commutative rings, in particular,…

Cryptography and Security · Computer Science 2021-08-17 Vitaly Roman'kov

We present a mechanism to manifest unobtainable secrets using a nested Shamir secret sharing scheme to create public/private key pairs for elliptic curves. A threshold secret sharing scheme can be used as a decentralised trust mechanism…

Cryptography and Security · Computer Science 2023-09-06 J. L. Hall , Y. Hertzog , M. Loewy , M. P. Skerritt , D. Valladolid , G. Verma

In $(t, n)$-threshold secret sharing, a secret $S$ is distributed among $n$ participants such that any subset of size $t$ can recover $S$, while any subset of size $t-1$ or fewer learns nothing about it. For information-theoretic secret…

Information Theory · Computer Science 2025-06-23 Igor L. Aureliano , Alejandro Cohen , Rafael G. L. D'Oliveira

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
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