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Homomorphic encryption (HE) enables computations on encrypted data by concealing information under noise for security. However, the process of bootstrapping, which resets the noise level in the ciphertext, is computationally expensive and…

Cryptography and Security · Computer Science 2023-05-22 Adiwena Putra , Prasetiyo , Yi Chen , John Kim , Joo-Young Kim

We introduce the notion of Levenshtein graphs, an analog to Hamming graphs but using the edit distance instead of the Hamming distance; in particular, Levenshtein graphs allow for underlying strings (nodes) of different lengths. We…

Data Structures and Algorithms · Computer Science 2021-07-16 Perrin E. Ruth , Manuel E. Lladser

Homomorphic Encryption (HE) is one of the most promising security solutions to emerging Machine Learning as a Service (MLaaS). Leveled-HE (LHE)-enabled Convolutional Neural Networks (LHECNNs) are proposed to implement MLaaS to avoid large…

Cryptography and Security · Computer Science 2019-11-19 Qian Lou , Lei Jiang

Given two strings $A[1..n]$ and $B[1..m]$, and a set of operations allowed to edit the strings, the edit distance between $A$ and $B$ is the minimum number of operations required to transform $A$ into $B$. Sequentially, a standard Dynamic…

Data Structures and Algorithms · Computer Science 2023-09-01 Xiangyun Ding , Xiaojun Dong , Yan Gu , Youzhe Liu , Yihan Sun

With the rapid advancement of AI technology, we have seen more and more concerns on data privacy, leading to some cutting-edge research on machine learning with encrypted computation. Fully Homomorphic Encryption (FHE) is a crucial…

Cryptography and Security · Computer Science 2026-03-31 Longfei Guo , Pengbo Li , Ting Gao , Yonghai Zhong , Haojie Fan , Jinqiao Duan

This paper proposes a fully homomorphic encryption encapsulated difference expansion (FHEE-DE) scheme for reversible data hiding in encrypted domain (RDH-ED). In the proposed scheme, we use key-switching and bootstrapping techniques to…

Cryptography and Security · Computer Science 2019-04-30 Yan Ke , Min-qing Zhang , Jia Liu , Ting-ting Su , Xiao-yuan Yang

Fully Homomorphic Encryption (FHE) enables computations directly on encrypted data, but its high computational cost remains a significant barrier. Writing efficient FHE code is a complex task requiring cryptographic expertise, and finding…

Cryptography and Security · Computer Science 2026-01-28 Bilel Sefsaf , Abderraouf Dandani , Abdessamed Seddiki , Arab Mohammed , Eduardo Chielle , Michail Maniatakos , Riyadh Baghdadi

The edit distance between strings classically assigns unit cost to every character insertion, deletion, and substitution, whereas the Hamming distance only allows substitutions. In many real-life scenarios, insertions and deletions…

Data Structures and Algorithms · Computer Science 2026-02-23 Elazar Goldenberg , Tomasz Kociumaka , Robert Krauthgamer , Barna Saha

Fully Homomorphic Encryption (FHE) enables computations on encrypted data, preserving confidentiality without the need for decryption. However, FHE is often hindered by significant performance overhead, particularly for high-precision and…

Cryptography and Security · Computer Science 2024-09-06 Chao Wang , Shubing Yang , Xiaoyan Sun , Jun Dai , Dongfang Zhao

Bootstrapping is a crucial but computationally expensive step for realizing Fully Homomorphic Encryption (FHE). Recently, Chen and Han (Eurocrypt 2018) introduced a family of low-degree polynomials to extract the lowest digit with respect…

Cryptography and Security · Computer Science 2019-06-10 Mingjia Huo , Kewen Wu , Qi Ye

Assessing the extent of human edits on texts generated by Large Language Models (LLMs) is crucial to understanding the human-AI interactions and improving the quality of automated text generation systems. Existing edit distance metrics,…

Computation and Language · Computer Science 2024-12-24 Nicolas Devatine , Louis Abraham

Storing information in DNA molecules is of great interest because of its advantages in longevity, high storage density, and low maintenance cost. A key step in the DNA storage pipeline is to efficiently cluster the retrieved DNA sequences…

Machine Learning · Computer Science 2022-07-12 Alan J. X. Guo , Cong Liang , Qing-Hu Hou

It has been a long standing problem to securely outsource computation tasks to an untrusted party with integrity and confidentiality guarantees. While fully homomorphic encryption (FHE) is a promising technique that allows computations…

Cryptography and Security · Computer Science 2019-05-21 Wenhao Wang , Yichen Jiang , Qintao Shen , Weihao Huang , Hao Chen , Shuang Wang , XiaoFeng Wang , Haixu Tang , Kai Chen , Kristin Lauter , Dongdai Lin

Recent work using Fully Homomorphic Encryption (FHE) has made non-interactive privacy-preserving inference of deep Convolutional Neural Networks (CNN) possible. However, the performance of these methods remain limited by their heavy…

Cryptography and Security · Computer Science 2026-02-10 Eduardo Chielle , Manaar Alam , Jinting Liu , Jovan Kascelan , Michail Maniatakos

This research project aimed to overcome the challenge of analysing human language relationships, facilitate the grouping of languages and formation of genealogical relationship between them by developing automated comparison techniques.…

Computation and Language · Computer Science 2020-02-03 Gabija Mikulyte , David Gilbert

Identifying document similarity has many applications, e.g., source code analysis or plagiarism detection. However, identifying similarities is not trivial and can be time complex. For instance, the Levenshtein Distance is a common metric…

Information Retrieval · Computer Science 2023-07-24 Peter Coates , Frank Breitinger

The Median String Problem is W[1]-Hard under the Levenshtein distance, thus, approximation heuristics are used. Perturbation-based heuristics have been proved to be very competitive as regards the ratio approximation accuracy/convergence…

Data Structures and Algorithms · Computer Science 2020-03-05 Pedro Mirabal , José Abreu , Oscar Pedreira

With the rapid development of AI technology, we have witnessed numerous innovations and conveniences. However, along with these advancements come privacy threats and risks. Fully Homomorphic Encryption (FHE) emerges as a key technology for…

Cryptography and Security · Computer Science 2023-09-19 Pengbo Li , Huifang Huang , Ting Gao , Jin Guo , Jinqiao Duan

Fully Homomorphic Encryption (FHE) is a promising privacy-preserving technology enabling secure computation over encrypted data. A major limitation of current FHE schemes is their high runtime overhead. As a result, automatic optimization…

Cryptography and Security · Computer Science 2025-06-17 Julien de Castelnau , Mingfei Yu , Giovanni De Micheli

Traditional approaches to vector similarity search over encrypted data rely on fully homomorphic encryption (FHE) to enable computation without decryption. However, the substantial computational overhead of FHE makes it impractical for…

Cryptography and Security · Computer Science 2025-02-21 Dongfang Zhao