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Homomorphic encryption (HE) is widely adopted in untrusted environments such as federated learning. A notable limitation of conventional single-key HE schemes is the stringent security assumption regarding collusion between the parameter…

Cryptography and Security · Computer Science 2023-12-29 Dongfang Zhao

This paper provides a simple variation of the basic ideas of the BB84 quantum cryptographic scheme leading to a method of key expansion. A secure random sequence (the bases sequence) determines the encoding bases in a proposed scheme. Using…

Quantum Physics · Physics 2009-10-30 Won Young Hwang , In Gyu Koh , Yeong Deok Han

Traditional methods in public key cryptography are based on number theory, and suffer from problems such as dealing with very large numbers, making key creation cumbersome. Here, we propose a new public key cryptosystem based on strings…

Cryptography and Security · Computer Science 2015-01-20 M. Andrecut

In this paper, we propose to use a skew dihedral group ring given by the group $D_{2n}$ and the finite field $\mathbb{F}_{q^2}$ for public-key cryptography. Using the ambient space $\mathbb{F}_{q^{2}}^{\theta} D_{2n}$ and a group…

Cryptography and Security · Computer Science 2022-05-09 Javier de la Cruz , Edgar Martínez-Moro , Ricardo Villanueva-Polanco

The improvements on quantum technology are threatening our daily cybersecurity, as a capable quantum computer can break all currently employed asymmetric cryptosystems. In preparation for the quantum-era the National Institute of Standards…

Cryptography and Security · Computer Science 2024-07-18 Violetta Weger , Niklas Gassner , Joachim Rosenthal

Three closely-related polynomial-based group key pre-distribution schemes have recently been proposed, aimed specifically at wireless sensor networks. The schemes enable any subset of a predefined set of sensor nodes to establish a shared…

Cryptography and Security · Computer Science 2026-03-20 Chris J Mitchell

In secure summation, $K$ users, each holds an input, wish to compute the sum of the inputs at a server without revealing any information about {\em all the inputs} even if the server may collude with {\em an arbitrary subset of users}. In…

Information Theory · Computer Science 2023-04-20 Zhou Li , Yizhou Zhao , Hua Sun

The rapid growth of the Internet of Things (IoT) introduces challenges in secure authentication and delegation due to the limited computational capabilities of devices. Proxy signature schemes offer an effective solution by enabling…

Cryptography and Security · Computer Science 2026-03-31 Somnath Kumar , Kunal Dey , Vikas Srivastava , Sumit Kumar Debnath , Ashok Kumar Das , Shehzad Ashraf Chaudhry

We revisit the so-called compressed oracle technique, introduced by Zhandry for analyzing quantum algorithms in the quantum random oracle model (QROM). To start off with, we offer a concise exposition of the technique, which easily extends…

Quantum Physics · Physics 2021-07-12 Kai-Min Chung , Serge Fehr , Yu-Hsuan Huang , Tai-Ning Liao

We study the hierarchical secure aggregation problem with groupwise keys. The problem consists of an aggregation server, $U$ relays, and $UV$ users, where each relay serves $V$ disjoint users, and each subset of $G$ users shares an…

Information Theory · Computer Science 2026-04-30 Minyang Lu , Zhou Li , Haiqiang Chen , Min Xie

In their 2022 study, Kuang et al. introduced Multivariable Polynomial Public Key (MPPK) cryptography, leveraging the inversion relationship between multiplication and division for quantum-safe public key systems. They extended MPPK into…

Cryptography and Security · Computer Science 2024-06-07 Randy Kuang , Maria Perepechaenko , Mahmoud Sayed , Dafu Lou

We propose public-key cryptosystems with public key a system of polynomial equations, algebraic or differential, and private key a single polynomial or a small-size ideal. We set up probabilistic encryption, signature, and signcryption…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

This survey provides a comparative overview of code-based signature schemes with respect to security and performance. Furthermore, we explicitly describe serveral code-based signature schemes with additional properties such as…

Cryptography and Security · Computer Science 2013-12-17 Pierre-Louis Cayrel , Mohammed Meziani

Consider the setup where $n$ parties are each given a number $x_i \in \mathbb{F}_q$ and the goal is to compute the sum $\sum_i x_i$ in a secure fashion and with as little communication as possible. We study this problem in the anonymized…

Cryptography and Security · Computer Science 2019-10-17 Badih Ghazi , Pasin Manurangsi , Rasmus Pagh , Ameya Velingker

Starting from the one-way group action framework of Brassard and Yung (Crypto '90), we revisit building cryptography based on group actions. Several previous candidates for one-way group actions no longer stand, due to progress both on…

Cryptography and Security · Computer Science 2019-06-12 Zhengfeng Ji , Youming Qiao , Fang Song , Aaram Yun

Secure aggregation is a popular protocol in privacy-preserving federated learning, which allows model aggregation without revealing the individual models in the clear. On the other hand, conventional secure aggregation protocols incur a…

Machine Learning · Computer Science 2021-12-28 Irem Ergun , Hasin Us Sami , Basak Guler

Many users would prefer the privacy of end-to-end encryption in their online communications if it can be done without significant inconvenience. However, because existing key distribution methods cannot be fully trusted enough for automatic…

Cryptography and Security · Computer Science 2013-12-02 Stuart Heinrich

When working with joint collections of confidential data from multiple sources, e.g., in cloud-based multi-party computation scenarios, the ownership relation between data providers and their inputs itself is confidential information.…

Cryptography and Security · Computer Science 2020-02-14 Kilian Becher , Thorsten Strufe

Certificateless cryptography can be considered as an intermediate solution to overcome the issues in traditional public key infrastructure (PKI) and identity-based public key cryptography (ID-PKC). There exist a vast number of…

Cryptography and Security · Computer Science 2019-09-25 Nasrollah Pakniat

Federated learning (FL) enables collaborative model training by aggregating local updates without requiring raw data sharing. However, prior studies have shown that servers can exploit gradient inversion to compromise user privacy or…

Cryptography and Security · Computer Science 2026-05-26 Yufei Zhou