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We propose a very simple randomised data structure that stores an approximation from above of a lattice-valued function. Computing the function value requires a constant number of steps, and the error probability can be balanced with space…

Data Structures and Algorithms · Computer Science 2007-05-23 Paolo Boldi , Sebastiano Vigna

This article proposes a comprehensive approach to implementing encryption schemes based on the automorphism group of the Hermitian function field. We utilize a three-parameter group with logarithmic representations outside the group's…

Cryptography and Security · Computer Science 2025-04-16 Gennady Khalimov , Yevgen Kotukh

Fully homomorphic encryption (FHE) is an encryption method that allows to perform computation on encrypted data, without decryption. FHE preserves the privacy of the users of online services that handle sensitive data, such as health data,…

Machine Learning · Computer Science 2023-02-23 Andrei Stoian , Jordan Frery , Roman Bredehoft , Luis Montero , Celia Kherfallah , Benoit Chevallier-Mames

The mixed moments for the Askey-Wilson polynomials are found using a bootstrapping method and connection coefficients. A similar bootstrapping idea on generating functions gives a new Askey-Wilson generating function. An important special…

Classical Analysis and ODEs · Mathematics 2014-03-04 Jang Soo Kim , Dennis Stanton

We propose a public key encryption cryptosystem based on solutions of linear equation systems with predefinition of input parameters through shared secret computation for factorizable substitutions. The existence of multiple equivalent…

Cryptography and Security · Computer Science 2025-07-14 Gennady Khalimov , Yevgen Kotukh

Fully Homomorphic Encryption (FHE) is seeing increasing real-world deployment to protect data in use by allowing computation over encrypted data. However, the same malleability that enables homomorphic computations also raises integrity…

Cryptography and Security · Computer Science 2023-02-14 Alexander Viand , Christian Knabenhans , Anwar Hithnawi

Threshold Homomorphic Encryption (Threshold HE) is a good fit for implementing private federated average aggregation, a key operation in Federated Learning (FL). Despite its potential, recent studies have shown that threshold schemes…

Cryptography and Security · Computer Science 2026-02-26 Miguel Morona-Mínguez , Alberto Pedrouzo-Ulloa , Fernando Pérez-González

In this paper we address the problem of performing statistical inference for large scale data sets i.e., Big Data. The volume and dimensionality of the data may be so high that it cannot be processed or stored in a single computing node. We…

Methodology · Statistics 2016-04-20 Shahab Basiri , Esa Ollila , Visa Koivunen

Homomorphic encryption (HE) is a prominent framework for privacy-preserving machine learning, enabling inference directly on encrypted data. However, evaluating softmax, a core component of transformer architectures, remains particularly…

Cryptography and Security · Computer Science 2026-05-11 Hanjun Park , Byeongseo Min , Jiheon Woo , Min-Wook Jeong , Jongho Shin , Yongwoo Lee , Young-Sik Kim , Yongjune Kim

Fully Homomorphic Encryption (FHE) enables the evaluation of programs directly on encrypted data. However, because only basic operations can be performed on ciphertexts, programs must be expressed as boolean or arithmetic circuits. This…

Cryptography and Security · Computer Science 2025-10-10 Anne Müller , Mohd Kashif , Nico Döttling

Federated learning has become increasingly widespread due to its ability to train models collaboratively without centralizing sensitive data. While most research on FL emphasizes privacy-preserving techniques during training, the evaluation…

Cryptography and Security · Computer Science 2025-08-12 Cem Ata Baykara , Ali Burak Ünal , Mete Akgün

Bootstrap methods have long been the cornerstone of ensemble learning in machine learning. This paper presents a theoretical analysis of bootstrap techniques applied to the Least Square Support Vector Machine (LSSVM) ensemble in the context…

Fully-homomorphic encryption (FHE) enables computation on encrypted data while maintaining secrecy. Recent research has shown that such schemes exist even for quantum computation. Given the numerous applications of classical FHE…

Quantum Physics · Physics 2018-02-27 Gorjan Alagic , Yfke Dulek , Christian Schaffner , Florian Speelman

Homomorphic encryption (HE) offers data confidentiality by executing queries directly on encrypted fields in the database-as-a-service (DaaS) paradigm. While fully HE exhibits great expressiveness but prohibitive performance overhead, a…

Cryptography and Security · Computer Science 2021-11-23 Dongfang Zhao

We investigate encrypted control policy synthesis over the cloud. While encrypted control implementations have been studied previously, we focus on the less explored paradigm of privacy-preserving control synthesis, which can involve…

Machine Learning · Computer Science 2025-04-15 Jihoon Suh , Takashi Tanaka

Encrypted control has been introduced to protect controller data by encryption at the stage of computation and communication, by performing the computation directly on encrypted data. In this article, we first review and categorize recent…

Cryptography and Security · Computer Science 2022-10-12 Junsoo Kim , Dongwoo Kim , Yongsoo Song , Hyungbo Shim , Henrik Sandberg , Karl H. Johansson

In this work, we propose an open-source, first-of-its-kind, arithmetic hardware library with a focus on accelerating the arithmetic operations involved in Ring Learning with Error (RLWE)-based somewhat homomorphic encryption (SHE). We…

Cryptography and Security · Computer Science 2020-07-06 Rashmi Agrawal , Lake Bu , Alan Ehret , Michel A. Kinsy

While homomorphic encryption (HE) has garnered significant research interest in cloud-based outsourced databases due to its algebraic properties over ciphertexts, the computational overhead associated with HE has hindered its widespread…

Cryptography and Security · Computer Science 2023-06-08 Dongfang Zhao

Privacy-preserving machine learning (PPML) is an emerging topic to handle secure machine learning inference over sensitive data in untrusted environments. Fully homomorphic encryption (FHE) enables computation directly on encrypted data on…

Cryptography and Security · Computer Science 2025-10-24 Yu Hin Chan , Hao Yang , Shiyu Shen , Xingyu Fan , Shengzhe Lyu , Patrick S. Y. Hung , Ray C. C. Cheung

Privacy-Preserving Neural Networks (PPNN) are advanced to perform inference without breaching user privacy, which can serve as an essential tool for medical diagnosis to simultaneously achieve big data utility and privacy protection. As one…

Cryptography and Security · Computer Science 2024-03-19 Peng Zhang , Ao Duan , Xianglu Zou , Yuhong Liu
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