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The Bivariate Function Hard Problem (BFHP) has been in existence implicitly in almost all number theoretic based cryptosystems. This work defines the BFHP in a more general setting and produces an efficient asymmetric cryptosystem. The…

Cryptography and Security · Computer Science 2013-02-01 Muhammad Rezal Kamel Ariffin

Monitoring tasks, such as anomaly and DDoS detection, require identifying frequent flow aggregates based on common IP prefixes. These are known as \emph{hierarchical heavy hitters} (HHH), where the hierarchy is determined based on the type…

Data Structures and Algorithms · Computer Science 2017-07-24 Ran Ben Basat , Gil Einziger , Roy Friedman , Marcelo Caggiani Luizelli , Erez Waisbard

In this paper, we present a method to encrypt dynamic controllers that can be implemented through most homomorphic encryption schemes, including somewhat, leveled fully, and fully homomorphic encryption. To this end, we represent the output…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Joowon Lee , Donggil Lee , Junsoo Kim , Hyungbo Shim

Privacy-preserving analysis of confidential data can increase the value of such data and even improve peoples' lives. Fully homomorphic encryption (FHE) can enable privacy-preserving analysis. However, FHE adds a large amount of…

Cryptography and Security · Computer Science 2023-12-25 Mirko Günther , Lars Schütze , Kilian Becher , Thorsten Strufe , Jeronimo Castrillon

The gold-standard for security in quantum cryptographic protocols is information-theoretic security. Information-theoretic security is surely future-proof, because it makes no assumptions on the hardness of any computational problems and…

Quantum Physics · Physics 2025-06-06 Yingkai Ouyang , Peter P. Rohde

Homomorphic encryption (HE) enables arithmetic operations to be performed directly on encrypted data. It is essential for privacy-preserving applications such as machine learning, medical diagnosis, and financial data analysis. In popular…

Cryptography and Security · Computer Science 2026-05-19 Sajjad Akherati , Xinmiao Zhang

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

Two parties wish to collaborate on their datasets. However, before they reveal their datasets to each other, the parties want to have the guarantee that the collaboration would be fruitful. We look at this problem from the point of view of…

Cryptography and Security · Computer Science 2024-10-10 Hassan Jameel Asghar , Zhigang Lu , Zhongrui Zhao , Dali Kaafar

Homomorphic Encryption (HE) enables computation on encrypted data without decryption, making it a cornerstone of privacy-preserving computation in untrusted environments. As HE sees growing adoption in sensitive applications such as secure…

Cryptography and Security · Computer Science 2025-09-30 Matias Mazzanti , Augusto Vega , Pradip Bose , Esteban Mocskos

Fourier Holographic Reduced Representations (FHRR) provide a compositional framework for encoding structured information with complex-valued hypervectors. FHRR rely on floating-point arithmetic, which limits their efficiency and…

Computational Physics · Physics 2026-04-30 Shay Snyder , Hamed Poursiami , Maryam Parsa

In a functional encryption (FE) scheme, a user that holds a ciphertext and a function key can learn the result of applying the function to the plaintext message. Security requires that the user does not learn anything beyond the function…

Quantum Physics · Physics 2025-03-18 Arthur Mehta , Anne Müller

We study quantum coherence in continuous-time quantum walks on perfect graphs generated by the symmetric lift ${\mathrm{HL}}'_2(G)$, a canonical, unweighted, undirected construction defined as the line graph of a bipartite double cover of…

Quantum Physics · Physics 2025-08-04 Hartosh Singh Bal

RLWE-based Fully Homomorphic Encryption (FHE) schemes add some small \emph{noise} to the message during encryption. The noise accumulates with each homomorphic operation. When the noise exceeds a critical value, the FHE circuit produces an…

Cryptography and Security · Computer Science 2025-09-16 Tarakaram Gollamudi , Anitha Gollamudi , Joshua Gancher

Functional bootstrapping is a core technique in Fully Homomorphic Encryption (FHE). For large plaintext, to evaluate a general function homomorphically over a ciphertext, in the FHEW/TFHE approach, since the function in look-up table form…

Cryptography and Security · Computer Science 2023-10-20 Dengfa Liu , Hongbo Li

Recently, a novel image encryption scheme based on improved hyperchaotic sequences was proposed. A pseudo-random number sequence, generated by a hyper-chaos system, is used to determine two involved encryption functions, bitwise exclusive…

Cryptography and Security · Computer Science 2016-09-27 Chengqing Li , Yuansheng Liu , Tao Xie , Michael Z. Q. Chen

Physical Unclonable Functions (PUFs) leverage inherent, non-clonable physical randomness to generate unique input-output pairs, serving as secure fingerprints for cryptographic protocols like authentication. Quantum PUFs (QPUFs) extend this…

Privacy-preserving machine learning has become an important long-term pursuit in this era of artificial intelligence (AI). Fully Homomorphic Encryption (FHE) is a uniquely promising solution, offering provable privacy and security…

Cryptography and Security · Computer Science 2026-03-30 Cory Brynds , Parker McLeod , Lauren Caccamise , Asmita Pal , Dewan Saiham , Sazadur Rahman , Joshua San Miguel , Di Wu

Let $G_1$ be a cyclic multiplicative group of order $n$. It is known that the Diffie-Hellman problem is random self-reducible in $G_1$ with respect to a fixed generator $g$ if $\phi(n)$ is known. That is, given $g, g^x\in G_1$ and having…

Cryptography and Security · Computer Science 2007-05-23 Amitabh Saxena , Ben Soh

Foundation models (FMs) excel in zero-shot tasks but benefit from task-specific adaptation. However, privacy concerns prevent data sharing among multiple data owners, and proprietary restrictions prevent the learning service provider (LSP)…

Machine Learning · Computer Science 2025-10-02 Nurbek Tastan , Karthik Nandakumar

Biometric authentication systems pose privacy risks, as leaked templates such as iris or fingerprints can lead to security breaches. Fully Homomorphic Encryption (FHE) enables secure encrypted evaluation, but its deployment is hindered by…

Cryptography and Security · Computer Science 2025-06-17 Joon Soo Yoo , Tae Min Ahn , Ji Won Yoon
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