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This paper redefines the foundations of asymmetric cryptography's homomorphic cryptosystems through the application of the Yoneda Lemma. It demonstrates that widely adopted systems, including ElGamal, RSA, Benaloh, Regev's LWE, and…

Cryptography and Security · Computer Science 2025-02-06 Rémy Tuyéras

The interest in homomorphic encryption/decryption is increasing due to its excellent security properties and operating facilities. It allows operating on data without revealing its content. In this work, we suggest using homomorphism for…

Cryptography and Security · Computer Science 2015-05-22 M. Tarek Ibn Ziad , Amr Alanwar , Yousra Alkabani , M. Watheq El-Kharashi , Hassan Bedour

Homomorphic encryption (HE) allows computations to be directly carried out on ciphertexts and is essential to privacy-preserving computing, such as neural network inference, medical diagnosis, and financial data analysis. Only addition and…

Cryptography and Security · Computer Science 2025-07-24 Sajjad Akherati , Yok Jye Tang , Xinmiao Zhang

This paper proposes a non-interactive end-to-end solution for secure fusion and matching of biometric templates using fully homomorphic encryption (FHE). Given a pair of encrypted feature vectors, we perform the following ciphertext…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Luke Sperling , Nalini Ratha , Arun Ross , Vishnu Naresh Boddeti

Many Intelligent Transportation Systems (ITS) applications require strong privacy guarantees for both users and their data. Homomorphic encryption (HE) enables computation directly on encrypted messages and thus offers a compelling approach…

Cryptography and Security · Computer Science 2026-02-04 Kyle Yates , Abdullah Al Mamun , Mashrur Chowdhury

We present a conceptual framework for extending homomorphic encryption beyond arithmetic or Boolean operations into the domain of intuitionistic logic proofs and, by the Curry-Howard correspondence, into the domain of typed functional…

Logic in Computer Science · Computer Science 2025-03-11 Ben Goertzel

Homomorphic encryption, which enables the execution of arithmetic operations directly on ciphertexts, is a promising solution for protecting privacy of cloud-delegated computations on sensitive data. However, the correctness of the…

Cryptography and Security · Computer Science 2025-11-20 Sylvain Chatel , Christian Knabenhans , Apostolos Pyrgelis , Carmela Troncoso , Jean-Pierre Hubaux

Credit card fraud is a problem continuously faced by financial institutions and their customers, which is mitigated by fraud detection systems. However, these systems require the use of sensitive customer transaction data, which introduces…

Cryptography and Security · Computer Science 2022-11-15 David Nugent

This paper introduces a privacy-preserving distributed learning framework via private-key homomorphic encryption. Thanks to the randomness of the quantization of gradients, our learning with error (LWE) based encryption can eliminate the…

Cryptography and Security · Computer Science 2024-02-05 Guangfeng Yan , Shanxiang Lyu , Hanxu Hou , Zhiyong Zheng , Linqi Song

Homomorphic encryption (HE) has found extensive utilization in federated learning (FL) systems, capitalizing on its dual advantages: (i) ensuring the confidentiality of shared models contributed by participating entities, and (ii) enabling…

Cryptography and Security · Computer Science 2023-08-10 Dongfang Zhao

Homomorphic encryption is one of the main solutions for building secure and privacy-preserving solutions for Machine Learning as a Service. This motivates the development of homomorphic algorithms for the main building blocks of AI,…

Cryptography and Security · Computer Science 2024-10-16 Wonhee Cho , Guillaume Hanrot , Taeseong Kim , Minje Park , Damien Stehlé

Smart mobility is a promising approach to meet urban transport needs in an environmentally and and user-friendly way. Smart mobility computes itineraries with multiple means of transportation, e.g., trams, rental bikes or electric scooters,…

Cryptography and Security · Computer Science 2023-08-22 Anika Hannemann , Erik Buchmann

Fully homomorphic encryption (FHE) allows an untrusted party to evaluate arithmetic cir- cuits, i.e., perform additions and multiplications on encrypted data, without having the decryp- tion key. One of the most efficient class of FHE…

Data Structures and Algorithms · Computer Science 2017-11-20 Hao Chen

The nonrecursive Bernstein-Vazirani algorithm was the first quantum algorithm to show a superpolynomial improvement over the corresponding best classical algorithm. Here we define a class of circuits that solve a particular case of this…

Quantum Physics · Physics 2023-04-03 Pablo Fernández , Miguel A. Martin-Delgado

With the rapid surge in the prevalence of Large Language Models (LLMs), individuals are increasingly turning to conversational AI for initial insights across various domains, including health-related inquiries such as disease diagnosis.…

Cryptography and Security · Computer Science 2024-05-07 Aditya Malik , Nalini Ratha , Bharat Yalavarthi , Tilak Sharma , Arjun Kaushik , Charanjit Jutla

Large language models (LLMs) offer personalized responses based on user interactions, but this use case raises serious privacy concerns. Homomorphic encryption (HE) is a cryptographic protocol supporting arithmetic computations in encrypted…

Cryptography and Security · Computer Science 2025-02-24 Donghwan Rho , Taeseong Kim , Minje Park , Jung Woo Kim , Hyunsik Chae , Ernest K. Ryu , Jung Hee Cheon

Secure function evaluation (SFE) is the process of computing a function (or running an algorithm) on some data, while keeping the input, output and intermediate results hidden from the environment in which the function is evaluated. This…

Cryptography and Security · Computer Science 2013-12-12 Stefan Rass

Federated learning is a method used in machine learning to allow multiple devices to work together on a model without sharing their private data. Each participant keeps their private data on their system and trains a local model and only…

Cryptography and Security · Computer Science 2025-04-07 Feiran Yang

Fully-Homomorphic Encryption (FHE) offers powerful capabilities by enabling secure offloading of both storage and computation, and recent innovations in schemes and implementations have made it all the more attractive. At the same time, FHE…

Cryptography and Security · Computer Science 2020-06-29 Roshan Dathathri , Blagovesta Kostova , Olli Saarikivi , Wei Dai , Kim Laine , Madanlal Musuvathi

Cloud computing emerges as an attractive solution that can be delegated to store and process confidential data. However, several security risks are encountered with such a system as the securely encrypted data should be decrypted before…

Cryptography and Security · Computer Science 2015-12-14 Youssef Gahi , Mouhcine Guennoun , Khalil El-Khatib