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Lattice-based cryptography is a foundation for post-quantum security, with the Learning with Errors (LWE) problem as a core component in key exchange, encryption, and homomorphic computation. Structured variants like Ring-LWE (RLWE) and…

密码学与安全 · 计算机科学 2025-02-12 Dongfang Zhao

Post-quantum cryptographic (PQC) algorithms, especially those based on the learning with errors (LWE) problem, have been subjected to several physical attacks in the recent past. Although the attacks broadly belong to two classes - passive…

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…

数值分析 · 数学 2025-09-01 Gaurav Mittal

Resource-constrained embedded systems demand secure yet lightweight data protection, particularly when data formats must be preserved. This paper introduces eFPE (Enhanced Format-Preserving Encryption), an 8-round Feistel cipher featuring a…

密码学与安全 · 计算机科学 2025-11-18 Nishant Vasantkumar Hegde , Suneesh Bare , K B Ramesh , Aamir Ibrahim

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…

量子物理 · 物理学 2023-01-06 Martin R. Albrecht , Yixin Shen

Cryptographic algorithms are fundamental to modern security, yet their implementations frequently harbor subtle logic flaws that are hard to detect. We introduce CryptoScope, a novel framework for automated cryptographic vulnerability…

密码学与安全 · 计算机科学 2025-08-18 Zhihao Li , Zimo Ji , Tao Zheng , Hao Ren , Xiao Lan

The fabrication of quantum key distribution (QKD) systems typically involves several parties, thus providing Eve with multiple opportunities to meddle with the devices. As a consequence, conventional hardware and/or software hacking attacks…

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…

密码学与安全 · 计算机科学 2025-10-10 Thomas Debris-Alazard , Philippe Gaborit , Romaric Neveu , Olivier Ruatta

Quantum computing threatens the security foundations of consumer electronics (CE). Preparing the diverse CE ecosystem, particularly resource-constrained devices, for the post-quantum era requires quantitative understanding of…

Post-quantum cryptography (PQC) must secure large-scale communication systems against quantum adversaries where classical hardness alone is insufficient and purely quantum schemes remain impractical. Lattice-based key encapsulation…

量子物理 · 物理学 2025-11-18 Ilias Cherkaoui , Indrakshi Dey

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…

密码学与安全 · 计算机科学 2023-03-07 Xiaodan Xi , Ge Li , Ye Wang , Yeonsoo Jeon , Michael Orshansky

We compare three proof techniques for composable finite-size security of quantum key distribution under collective attacks, with emphasis on how the resulting secret-key rates behave at practically relevant block lengths. As a benchmark, we…

量子物理 · 物理学 2026-01-08 Gabriele Staffieri , Giovanni Scala , Cosmo Lupo

Learning with Errors (LWE) is a hard math problem used in post-quantum cryptography. Homomorphic Encryption (HE) schemes rely on the hardness of the LWE problem for their security, and two LWE-based cryptosystems were recently standardized…

密码学与安全 · 计算机科学 2023-10-30 Cathy Yuanchen Li , Emily Wenger , Zeyuan Allen-Zhu , Francois Charton , Kristin Lauter

This paper describes a constant-time lattice encoder for the National Institute of Standards and Technology (NIST) recommended post-quantum encryption algorithm: Kyber. The first main contribution of this paper is to refine the analysis of…

信息论 · 计算机科学 2024-01-12 Shuiyin Liu , Amin Sakzad

We consider an architecture of confidential cloud-based control synthesis based on Homomorphic Encryption (HE). Our study is motivated by the recent surge of data-driven control such as deep reinforcement learning, whose heavy computational…

密码学与安全 · 计算机科学 2021-03-23 Jihoon Suh , Takashi Tanaka

Millions of devices are going to participate in 5G producing a huge space for security threats. The 5G specification goals require rigid and robust security protocol against such threats. Quantum cryptography is a recently emerged term in…

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…

信息论 · 计算机科学 2022-11-28 Georg Maringer , Sven Puchinger , Antonia Wachter-Zeh

Threshold Homomorphic Encryption (Threshold HE) is a good fit for implementing private federated average aggregation, a key operation in Federated Learning (FL). Despite its potential, recent studies have shown that threshold schemes…

密码学与安全 · 计算机科学 2026-02-26 Miguel Morona-Mínguez , Alberto Pedrouzo-Ulloa , Fernando Pérez-González

The Learning with Errors (LWE) problem is the fundamental backbone of modern lattice based cryptography, allowing one to establish cryptography on the hardness of well-studied computational problems. However, schemes based on LWE are often…

信息论 · 计算机科学 2020-08-06 Charles Grover , Cong Ling , Roope Vehkalahti

Quantum fully homomorphic encryption (QFHE) promises secure delegated quantum computation but has been impeded by the prohibitive quantum resource demands of existing constructions. This paper introduces a unified framework that achieves an…

量子物理 · 物理学 2026-04-28 Fengxia Liu , Zixian Gong , Kun Tian , Yi Zhang , Zhiming Zheng , Maozhi Xu