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The Ring Learning-With-Errors (RLWE) problem shows great promise for post-quantum cryptography and homomorphic encryption. We describe a new attack on the non-dual search RLWE problem with small error widths, using ring homomorphisms to…

Cryptography and Security · Computer Science 2017-10-11 Hao Chen , Kristin Lauter , Katherine E. Stange

Despite recent advances, Large Language Models (LLMs) still generate vulnerable code. Retrieval-Augmented Generation (RAG) has the potential to enhance LLMs for secure code generation by incorporating external security knowledge. However,…

Cryptography and Security · Computer Science 2026-03-17 Jiahao Shi , Tianyi Zhang

It is essential to select efficient topology of parameterized quantum circuits (PQCs) in variational quantum algorithms (VQAs). However, there are problems in current circuits, i.e. optimization difficulties caused by too many parameters or…

Quantum Physics · Physics 2023-08-22 Wenjie Liu , Qingshan Wu

Most modern cryptographic systems, such as RSA and the Diffie-Hellman Key Exchange, rely on "trapdoor" mathematical functions that are presumed to be computationally difficult with existing tools. However, quantum computers will be able to…

Cryptography and Security · Computer Science 2025-05-15 Alexander Meyer

By extending the notion of minimum rank distance, this paper introduces two new relative code parameters of a linear code C_1 of length n over a field extension and its subcode C_2. One is called the relative dimension/intersection profile…

Information Theory · Computer Science 2015-05-15 Jun Kurihara , Ryutaroh Matsumoto , Tomohiko Uyematsu

The imminent threat of quantum computing necessitates quantum-resistant cryptosystems. This paper establishes tight security bounds for two NIST PQC finalists: SPHINCS+ (hash-based) and NTRU (lattice-based). Our key contributions include:…

Cryptography and Security · Computer Science 2025-08-28 Ruopengyu Xu , Chenglian Liu

The advent of Cryptographically Relevant Quantum Computers (CRQCs) presents a fundamental and existential threat to the forensic integrity and operational safety of Industrial Control Systems (ICS) and Operational Technology (OT) in…

Cryptography and Security · Computer Science 2026-02-26 Yaser Baseri , Edward Waller

Authors develop new nonparametric methods for verification and monitoring for quantum randomness based on the ranged correlation function (RCF) and a sequence of the ranged amplitudes (SRA). We carried out RCF-analysis of different topology…

Quantum Physics · Physics 2018-10-11 N. S. Perminov , O. I. Bannik , D. Yu. Tarankova , R. R. Nigmatullin

This paper presents a two-stage online algorithm for recovery of low-rank parameter matrix in non-stationary stochastic systems. The first stage applies the recursive least squares (RLS) estimator combined with its singular value…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Yanxin Fu , Junbao Zhou , Yu Hu , Wenxiao Zhao

We introduce a new criterion, the Rank Selection Criterion (RSC), for selecting the optimal reduced rank estimator of the coefficient matrix in multivariate response regression models. The corresponding RSC estimator minimizes the Frobenius…

Statistics Theory · Mathematics 2011-10-18 Florentina Bunea , Yiyuan She , Marten H. Wegkamp

The Shapes Constraint Language (SHACL) is the recent W3C recommendation language for validating RDF data, by verifying certain shapes on graphs. Previous work has largely focused on the validation problem and the standard decision problems…

Artificial Intelligence · Computer Science 2022-06-16 Paolo Pareti , George Konstantinidis , Fabio Mogavero

LLMs are increasingly explored for malware analysis; however, current LLM-based malware attribution remains limited by unsupported indicators and insufficient code-level grounding for identifying malicious and vulnerable code segments. To…

Cryptography and Security · Computer Science 2026-05-08 Christopher G. Pedraza Pohlenz , Hassan Jalil Hadi , Ali Hassan , Ali Shoker

We present a novel adaptive random subspace learning algorithm (RSSL) for prediction purpose. This new framework is flexible where it can be adapted with any learning technique. In this paper, we tested the algorithm for regression and…

Machine Learning · Computer Science 2015-02-10 Mohamed Elshrif , Ernest Fokoue

Protograph-based Raptor-like low-density parity-check codes (PBRL codes) are a recently proposed family of easily encodable and decodable rate-compatible LDPC (RC-LDPC) codes. These codes have an excellent iterative decoding threshold and…

Information Theory · Computer Science 2017-06-08 Sudarsan V. S. Ranganathan , Dariush Divsalar , Richard D. Wesel

Modern web traffic relies on 2048-bit RSA encryption to secure our data in transit. Rapid advances in Quantum Computing pose a grave challenge by allowing hackers to break this encryption in hours. In August of 2024, the National Institute…

Cryptography and Security · Computer Science 2024-11-11 Ananya Tadepalli

Randomized, skewed caches (RSCs) such as CEASER-S have recently received much attention to defend against contention-based cache side channels. By randomizing and regularly changing the mapping(s) of addresses to cache sets, these…

Cryptography and Security · Computer Science 2022-09-30 Thomas Unterluggauer , Austin Harris , Scott Constable , Fangfei Liu , Carlos Rozas

Introduced in 2003 and 2005, Alekhnovich and Regev' schemes were the first public-key encryptions whose security is only based on the average hardness of decoding random linear codes and LWE, without other security assumptions. Such…

Cryptography and Security · Computer Science 2025-10-10 Thomas Debris-Alazard , Philippe Gaborit , Romaric Neveu , Olivier Ruatta

Quantum low-density parity-check (qLDPC) codes offer a promising route to scalable fault-tolerant quantum computing due to their substantially reduced footprint. However, these gains can be diluted at utility scale if we cannot also realize…

Quantum Physics · Physics 2026-03-10 Willers Yang , Jason Chadwick , Mariesa H. Teo , Joshua Viszlai , Fred Chong

In this thesis, we study algebraic coding theory based McEliece-type cryptosystems over quasi-cyclic codes. The main goal of this thesis is to construct a cryptosystem that resists quantum Fourier sampling making it quantum secure. We…

Information Theory · Computer Science 2018-05-28 Upendra Kapshikar

Generalized Reed-Solomon (GRS) and Gabidulin codes have been proposed for various code-based cryptosystems, though most such schemes without elaborate disguising techniques have been successfully attacked. Both code classes are prominent…

Cryptography and Security · Computer Science 2026-04-15 Felicitas Hörmann , Anna-Lena Horlemann