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The Ring Learning-With-Errors (LWE) problem, whose security is based on hard ideal lattice problems, has proven to be a promising primitive with diverse applications in cryptography. There are however recent discoveries of faster algorithms…

Cryptography and Security · Computer Science 2017-06-22 Qi Cheng , Jun Zhang , Jincheng Zhuang

In this work, we unveil an analogy between well-known lattice based learning with error problem and ill-posed inverse problems. We show that LWE problem is a structured inverse problem. Further, we propose a symmetric encryption scheme…

Numerical Analysis · Mathematics 2025-09-01 Gaurav Mittal

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

The "Ring Learning with Errors" (RLWE) problem was formulated as a variant of the "Learning with Errors" (LWE) problem, with the purpose of taking advantage of an additional algebraic structure in the underlying considered lattices; this…

Cryptography and Security · Computer Science 2018-02-05 Alberto Pedrouzo-Ulloa , Juan Ramón Troncoso-Pastoriza , Fernando Pérez-González

Sparse binary LWE secrets are under consideration for standardization for Homomorphic Encryption and its applications to private computation. Known attacks on sparse binary LWE secrets include the sparse dual attack and the hybrid sparse…

Cryptography and Security · Computer Science 2024-10-11 Niklas Nolte , Mohamed Malhou , Emily Wenger , Samuel Stevens , Cathy Li , François Charton , Kristin Lauter

Multidimensional signals like 2-D and 3-D images or videos are inherently sensitive signals which require privacy-preserving solutions when processed in untrustworthy environments, but their efficient encrypted processing is particularly…

Cryptography and Security · Computer Science 2017-12-05 Alberto Pedrouzo-Ulloa , Juan Ramón Troncoso-Pastoriza , Fernando Pérez-González

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

This study proposes post-quantum encrypted control systems based on dynamic-key Learning with Errors (LWE) encryption schemes. The proposed method develops update maps that simultaneously update the private key and ciphertexts within the…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Jungjin Park , Kiminao Kogiso

Post-quantum cryptography has gained attention due to the need for secure cryptographic systems in the face of quantum computing. Code-based and lattice-based cryptography are two prominent approaches, both heavily studied within the NIST…

Cryptography and Security · Computer Science 2024-10-16 Anna-Lena Horlemann , Karan Khathuria , Marc Newman , Amin Sakzad , Carlos Vela Cabello

We present a quantum augmented variant of the dual lattice attack on the Learning with Errors (LWE) problem, using classical memory with quantum random access (QRACM). Applying our results to lattice parameters from the literature, we find…

Quantum Physics · Physics 2023-01-06 Martin R. Albrecht , Yixin Shen

Secure software leasing (SSL) is a quantum cryptographic primitive that enables users to execute software only during the software is leased. It prevents users from executing leased software after they return the leased software to its…

Quantum Physics · Physics 2022-02-22 Fuyuki Kitagawa , Ryo Nishimaki , Takashi Yamakawa

Analyzing the security of cryptosystems under attacks based on the malicious modification of memory registers is a research topic of high importance. This type of attacks may affect the randomness of the secret parameters by forcing a…

Cryptography and Security · Computer Science 2017-12-29 Domingo Gomez-Perez , Guénaël Renault

At ASIACRYPT 2018, a digital attack based on linear least squares was introduced for a variant of the learning with errors (LWE) problem which omits modular reduction known as the integer learning with errors problem (ILWE). In this paper,…

Cryptography and Security · Computer Science 2025-12-10 Kyle Yates , Antsa Pierrottet , Abdullah Al Mamun , Ryann Cartor , Mashrur Chowdhury , Shuhong Gao

We introduce a continuous analogue of the Learning with Errors (LWE) problem, which we name CLWE. We give a polynomial-time quantum reduction from worst-case lattice problems to CLWE, showing that CLWE enjoys similar hardness guarantees to…

Computational Complexity · Computer Science 2020-10-27 Joan Bruna , Oded Regev , Min Jae Song , Yi Tang

Signature-based malware detectors have proven to be insufficient as even a small change in malignant executable code can bypass these signature-based detectors. Many machine learning-based models have been proposed to efficiently detect a…

Cryptography and Security · Computer Science 2024-09-02 Yash Jakhotiya , Heramb Patil , Jugal Rawlani , Sunil B. Mane

The cryptosystem based on the Learning-with-Errors (LWE) problem is considered as a post-quantum cryptosystem, because it is not based on the factoring problem with large primes which is easily solved by a quantum computer. Moreover, the…

Systems and Control · Computer Science 2021-01-11 Junsoo Kim , Hyungbo Shim , Kyoohyung Han

We prove the first hardness results against efficient proof search by quantum algorithms. We show that under Learning with Errors (LWE), the standard lattice-based cryptographic assumption, no quantum algorithm can weakly automate…

Computational Complexity · Computer Science 2026-03-10 Noel Arteche , Gaia Carenini , Matthew Gray

Recent advancements in Large Language Model (LLM) safety have primarily focused on mitigating attacks crafted in natural language or common ciphers (e.g. Base64), which are likely integrated into newer models' safety training. However, we…

Computation and Language · Computer Science 2025-10-15 Divij Handa , Zehua Zhang , Amir Saeidi , Shrinidhi Kumbhar , Md Nayem Uddin , Aswin RRV , Chitta Baral

Large Language Models (LLMs) remain vulnerable to optimization-based jailbreak attacks that exploit internal gradient structure. While Sparse Autoencoders (SAEs) are widely used for interpretability, their robustness implications remain…

Machine Learning · Computer Science 2026-04-22 Ahson Saiyed , Sabrina Sadiekh , Chirag Agarwal

We construct a strong PUF with provable security against ML attacks on both classical and quantum computers. The security is guaranteed by the cryptographic hardness of learning decryption functions of public-key cryptosystems, and the…

Cryptography and Security · Computer Science 2023-03-07 Xiaodan Xi , Ge Li , Ye Wang , Yeonsoo Jeon , Michael Orshansky