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The hard mathematical problems that assure the security of our current public-key cryptography (RSA, ECC) are broken if and when a quantum computer appears rendering them ineffective for use in the quantum era. Lattice based cryptography is…

Cryptography and Security · Computer Science 2023-05-18 Archisman Ghosh , Jose Maria Bermudo Mera , Angshuman Karmakar , Debayan Das , Santosh Ghosh , Ingrid Verbauwhede , Shreyas Sen

After three rounds of post-quantum cryptography (PQC) strict evaluations conducted by NIST, CRYSTALS-Kyber was successfully selected in July 2022 and standardized in August 2024. It becomes urgent to further evaluate Kyber's physical…

Cryptography and Security · Computer Science 2025-03-14 Kai Wang , Dejun Xu , Jing Tian

Learning with Errors (LWE) is a hard math problem underpinning many proposed post-quantum cryptographic (PQC) systems. The only PQC Key Exchange Mechanism (KEM) standardized by NIST is based on module~LWE, and current publicly available PQ…

Cryptography and Security · Computer Science 2023-11-01 Cathy Li , Jana Sotáková , Emily Wenger , Mohamed Malhou , Evrard Garcelon , Francois Charton , Kristin Lauter

This letter presents a cryptanalysis of the modified McEliece cryptosystem recently proposed by Moufek, Guenda and Gulliver [24]. The system is based on the juxtaposition of quasi-cyclic LDPC and quasi-cyclic MDPC codes. The idea of our…

Cryptography and Security · Computer Science 2017-12-07 Vlad Dragoi , Hervé Talé Kalachi

The Hamming Quasi-Cyclic (HQC) cryptosystem was selected for standardization in the fourth round of the NIST Post-Quantum Cryptography (PQC) standardization project. The goal of the PQC project is to standardize one or more…

Cryptography and Security · Computer Science 2026-01-13 Pavel Velek , Tomáš Rabas , Jiří Buček

Large Language Models face an emerging and critical threat known as latency attacks. Because LLM inference is inherently expensive, even modest slowdowns can translate into substantial operating costs and severe availability risks.…

Cryptography and Security · Computer Science 2026-02-10 Tianyi Wang , Huawei Fan , Yuanchao Shu , Peng Cheng , Cong Wang

Lattice-based cryptographic algorithms built on ring learning with error theory are gaining importance due to their potential for providing post-quantum security. However, these algorithms involve complex polynomial operations, such as…

Cryptography and Security · Computer Science 2023-07-28 Mengyuan Li , Haoran Geng , Michael Niemier , Xiaobo Sharon Hu

Implementation security, higher generation rate, and lower cost are primary missions in the domain of quantum key distributions in recent years. However, simultaneously achieving robust security, high speed, and low cost often resembles an…

We show a simple reduction which demonstrates the cryptographic hardness of learning a single periodic neuron over isotropic Gaussian distributions in the presence of noise. More precisely, our reduction shows that any polynomial-time…

Machine Learning · Computer Science 2021-09-17 Min Jae Song , Ilias Zadik , Joan Bruna

Unconditionally secure communication, being pursued for thousands of years, however, hasn't been reached yet due to continuous competitions between encryption and hacking. Quantum key distribution (QKD), harnessing the quantum mechanical…

Quantum Physics · Physics 2020-03-06 Xiao-Ling Pang , Ai-Lin Yang , Chao-Ni Zhang , Jian-Peng Dou , Hang Li , Jun Gao , Xian-Min Jin

This letter introduces two fast maximum-likelihood (ML) detection methods for 4*4 quasi-orthogonal space-time block code (QOSTBC). The first algorithm with a relatively simple design exploits structure of quadrature amplitude modulation…

Information Theory · Computer Science 2017-06-14 Adel Ahmadi , Siamak Talebi

Most work in quantum circuit optimization has been performed in isolation from the results of quantum fault-tolerance. Here we present a polynomial-time algorithm for optimizing quantum circuits that takes the actual implementation of…

Quantum Physics · Physics 2014-11-18 Matthew Amy , Dmitri Maslov , Michele Mosca

We propose a prepare-and-measure scheme for quantum key distribution with 2-bit quantum codes. The protocol is unconditionally secure under whatever type of intercept-and-resend attack. Given the symmetric and independent errors to the…

Quantum Physics · Physics 2009-11-10 Xiang-Bin Wang

We study the amplification of security against quantum attacks provided by iteration of block ciphers. In the classical case, the Meet-in-the-middle attack is a generic attack against those constructions. This attack reduces the time…

Quantum Physics · Physics 2015-04-28 Marc Kaplan

We present a principled technique for reducing the lattice and matrix size in some applications of Coppersmith's lattice method for finding roots of modular polynomial equations. Motivated by ideas from machine learning, it relies on…

Cryptography and Security · Computer Science 2020-12-18 Stephen D. Miller , Bhargav Narayanan , Ramarathnam Venkatesan

Efficiently estimating energy expectation values of quantum lattice systems on quantum computers is a crucial subroutine for various quantum algorithms, which can lead to significant overhead due to the high measurement shot numbers…

We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type structure, where the target vectors are boundably short. For…

Symbolic Computation · Computer Science 2010-02-04 Mark Van Hoeij , Andrew Novocin

A digital computer is generally believed to be an efficient universal computing device; that is, it is believed able to simulate any physical computing device with an increase in computation time of at most a polynomial factor. This may not…

Quantum Physics · Physics 2017-02-20 Peter W. Shor

A polymer folding model on the square lattice is constructed with attractive contact interactions of strength 1/c^2, 0<c<1. The corresponding model on a dynamical random lattice, with freely fluctuating co-ordination number at each vertex,…

Condensed Matter · Physics 2016-08-31 S. Dalley

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
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