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We show direct and conceptually simple reductions between the classical learning with errors (LWE) problem and its continuous analog, CLWE (Bruna, Regev, Song and Tang, STOC 2021). This allows us to bring to bear the powerful machinery of…

Cryptography and Security · Computer Science 2022-11-03 Aparna Gupte , Neekon Vafa , Vinod Vaikuntanathan

The Learning with Errors problem (LWE) is one of the main candidates for post-quantum cryptography. At Asiacrypt 2017, coded-BKW with sieving, an algorithm combining the Blum-Kalai-Wasserman algorithm (BKW) with lattice sieving techniques,…

Cryptography and Security · Computer Science 2019-05-20 Erik Mårtensson

According to constructivist theory, students learn software security more effectively when examples are grounded in their own code. Generic examples often fail to connect with students' prior work, limiting engagement and understanding.…

Cryptography and Security · Computer Science 2026-04-16 Matthew Frazier , Kostadin Damevski

Several cryptosystems based on the \emph{Ring Learning with Errors} (RLWE) problem have been proposed within the NIST post-quantum cryptography standardization process, e.g., NewHope. Furthermore, there are systems like Kyber which are…

Information Theory · Computer Science 2022-11-28 Georg Maringer , Sven Puchinger , Antonia Wachter-Zeh

Recently Brakerski, Christiano, Mahadev, Vazirani and Vidick (FOCS 2018) have shown how to construct a test of quantumness based on the learning with errors (LWE) assumption: a test that can be solved efficiently by a quantum computer but…

Quantum Physics · Physics 2021-10-05 Shuichi Hirahara , François Le Gall

At ITW'10, Bringer et al. suggest to strengthen their previous identification protocol by extending the Code Reverse Engineering (CRE) problem to identification codes. We first extend security results by Tillich et al. on this very problem.…

Cryptography and Security · Computer Science 2015-03-19 Julien Bringer , Hervé Chabanne

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

In this paper, we study the Learning With Errors problem and its binary variant, where secrets and errors are binary or taken in a small interval. We introduce a new variant of the Blum, Kalai and Wasserman algorithm, relying on a…

Cryptography and Security · Computer Science 2015-07-01 Paul Kirchner , Pierre-Alain Fouque

There are many practical applications based on the Least Square Error (LSE) approximation. It is based on a square error minimization 'on a vertical' axis. The LSE method is simple and easy also for analytical purposes. However, if data…

Graphics · Computer Science 2018-02-22 Vaclav Skala

Deep neural networks are capable of state-of-the-art performance in many classification tasks. However, they are known to be vulnerable to adversarial attacks -- small perturbations to the input that lead to a change in classification. We…

Artificial Intelligence · Computer Science 2023-06-06 Lucas Beerens , Desmond J. Higham

Modern hardware designs have grown increasingly efficient and complex. However, they are often susceptible to Common Weakness Enumerations (CWEs). This paper is focused on the formal verification of CWEs in a dataset of hardware designs…

Artificial Intelligence · Computer Science 2024-09-04 Deepak Narayan Gadde , Aman Kumar , Thomas Nalapat , Evgenii Rezunov , Fabio Cappellini

Our main result is a quantum public-key encryption scheme based on the Extrapolated Dihedral Coset problem (EDCP) which is equivalent, under quantum polynomial-time reductions, to the Learning With Errors (LWE) problem. For limited number…

Quantum Physics · Physics 2021-05-28 Javad Doliskani

Large language models (LLMs) are now widely used to draft and refactor code, but code that works is not necessarily secure. We evaluate secure code generation using the Instruct Prime, which eliminated compliance-required prompts and cue…

Cryptography and Security · Computer Science 2025-11-07 Arup Datta , Ahmed Aljohani , Hyunsook Do

Recent advancements in large language models (LLMs) have revolutionized code intelligence by improving programming productivity and alleviating challenges faced by software developers. To further improve the performance of LLMs on specific…

Cryptography and Security · Computer Science 2024-10-07 Yifei Ge , Weisong Sun , Yihang Lou , Chunrong Fang , Yiran Zhang , Yiming Li , Xiaofang Zhang , Yang Liu , Zhihong Zhao , Zhenyu Chen

Machine learning is a popular approach to signatureless malware detection because it can generalize to never-before-seen malware families and polymorphic strains. This has resulted in its practical use for either primary detection engines…

Cryptography and Security · Computer Science 2018-01-31 Hyrum S. Anderson , Anant Kharkar , Bobby Filar , David Evans , Phil Roth

This article describes a post-quantum multirecipient symmetric cryptosystem whose security is based on the hardness of the LWE problem. In this scheme a single sender encrypts multiple messages for multiple recipients generating a single…

Cryptography and Security · Computer Science 2025-06-09 Saikat Gope , Srinivasan Krishnaswamy , Chayan Bhawal

Chen, Liu, and Zhandry [CLZ22] introduced the problems $S|LWE\rangle$ and $C|LWE\rangle$ as quantum analogues of the Learning with Errors problem, designed to construct quantum algorithms for the Inhomogeneous Short Integer Solution…

Quantum Physics · Physics 2026-05-12 André Chailloux , Paul Hermouet

Although large language models (LLMs) have achieved remarkable advancements, their security remains a pressing concern. One major threat is jailbreak attacks, where adversarial prompts bypass model safeguards to generate harmful or…

Cryptography and Security · Computer Science 2025-05-21 Tiehan Cui , Yanxu Mao , Peipei Liu , Congying Liu , Datao You

With the boom of Large Language Models (LLMs), the research of solving Math Word Problem (MWP) has recently made great progress. However, there are few studies to examine the security of LLMs in math solving ability. Instead of attacking…

Computation and Language · Computer Science 2023-09-06 Zihao Zhou , Qiufeng Wang , Mingyu Jin , Jie Yao , Jianan Ye , Wei Liu , Wei Wang , Xiaowei Huang , Kaizhu Huang

At SAC 2013, Berger et al. first proposed the Extended Generalized Feistel Networks (EGFN) structure for the design of block ciphers with efficient diffusion. Later, based on the Type-2 EGFN, they instantiated a new lightweight block cipher…

Cryptography and Security · Computer Science 2026-03-23 Peipei Xie , Siwei Chen , Zejun Xiang , Shasha Zhang , Xiangyong Zeng