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The assumed hardness of the Linear Code Equivalence problem (LCE) lies at the core of the security of the LESS signature scheme and other signature schemes with advanced functionalities. The LCE problem asks to determine whether two linear…

代数几何 · 数学 2026-04-08 Gessica Alecci , Giuseppe D'Alconzo

We present novel homomorphic encryption schemes for integer arithmetic, intended for use in secure single-party computation in the cloud. These schemes are capable of securely computing only low degree polynomials homomorphically, but this…

密码学与安全 · 计算机科学 2017-02-27 James Dyer , Martin Dyer , Jie Xu

We study efficient mechanisms for differentially private kernel density estimation (DP-KDE). Prior work for the Gaussian kernel described algorithms that run in time exponential in the number of dimensions $d$. This paper breaks the…

数据结构与算法 · 计算机科学 2023-07-06 Tal Wagner , Yonatan Naamad , Nina Mishra

We present an attack against a code-based signature scheme based on the Lyubashevsky protocol that was recently proposed by Song, Huang, Mu, Wu and Wang (SHMWW). The private key in the SHMWW scheme contains columns coming in part from an…

密码学与安全 · 计算机科学 2021-07-07 Nicolas Aragon , Marco Baldi , Jean-Christophe Deneuville , Karan Khathuria , Edoardo Persichetti , Paolo Santini

Secret sharing is an important building block in cryptography. All explicitly defined secret sharing schemes with known exact complexity bounds are multi-linear, thus are closely related to linear codes. The dual of such a linear scheme, in…

信息论 · 计算机科学 2020-02-04 Laszlo Csirmaz

Quantum key distribution (QKD) can be used to generate secret keys between two distant parties. Even though QKD has been proven unconditionally secure against eavesdroppers with unlimited computation power, practical implementations of QKD…

量子物理 · 物理学 2007-07-13 Chi-Hang Fred Fung , Bing Qi , Kiyoshi Tamaki , Hoi-Kwong Lo

In this work, we consider rational ordinary differential equations dy/dx = Q(x,y)/P(x,y), with Q(x,y) and P(x,y) coprime polynomials with real coefficients. We give a method to construct equations of this type for which a first integral can…

动力系统 · 数学 2017-05-18 Héctor Giacomini , Jaume Giné , Maite Grau

Cryptographic approaches, such as secure multiparty computation, can be used to compute in a secure manner the function of a distributed graph without centralizing the data of each participant. However, the output of the protocol itself can…

密码学与安全 · 计算机科学 2024-12-09 Sofiane Azogagh , Zelma Aubin Birba , Josée Desharnais , Sébastien Gambs , Marc-Olivier Killijian , Nadia Tawbi

The nonrecursive Bernstein-Vazirani algorithm was the first quantum algorithm to show a superpolynomial improvement over the corresponding best classical algorithm. Here we define a class of circuits that solve a particular case of this…

量子物理 · 物理学 2023-04-03 Pablo Fernández , Miguel A. Martin-Delgado

Digital signatures are fundamental cryptographic primitives that ensure the authenticity and integrity of digital documents. In the post-quantum era, classical public key-based signature schemes become vulnerable to brute-force and…

密码学与安全 · 计算机科学 2025-07-29 Satish Kumar , Md. Arzoo Jamal

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…

密码学与安全 · 计算机科学 2024-10-11 Niklas Nolte , Mohamed Malhou , Emily Wenger , Samuel Stevens , Cathy Li , François Charton , Kristin Lauter

Fractional Fourier transform and chaos functions play a key role in many of encryption-decryption algorithms. In this work performance of image encryption-decryption algorithms is quantified and compared using the computation time i.e. the…

密码学与安全 · 计算机科学 2014-01-24 Prerana Sharma

In a basic related-key attack against a block cipher, the adversary has access to encryptions under keys that differ from the target key by bit-flips. In this short note we show that for a quantum adversary such attacks are quite powerful:…

量子物理 · 物理学 2013-11-15 Martin Roetteler , Rainer Steinwandt

We present an extension to a d-ary alphabet of a recently proposed deterministic quantum key distribution protocol. It relies on the use of mutually unbiased bases in prime power dimension d, for which we provide an explicit expression.…

量子物理 · 物理学 2009-09-16 Anita Eusebi , Stefano Mancini

We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme of such type. In most cases, such schemes are built on…

群论 · 数学 2017-09-20 V. A. Roman'kov

The Diffie-Hellman key exchange plays a crucial role in conventional cryptography, as it allows two legitimate users to establish a common, usually ephemeral, secret key. Its security relies on the discrete-logarithm problem, which is…

量子物理 · 物理学 2025-01-17 Georgios M. Nikolopoulos

This paper presents a fast, randomized divide-and-conquer algorithm for the definite generalized eigenvalue problem, which corresponds to pencils $(A,B)$ in which $A$ and $B$ are Hermitian and the Crawford number $\gamma(A,B) =…

数值分析 · 数学 2025-05-29 James Demmel , Ioana Dumitriu , Ryan Schneider

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…

密码学与安全 · 计算机科学 2025-06-09 Saikat Gope , Srinivasan Krishnaswamy , Chayan Bhawal

This thesis aims to use intelligent systems to extend and improve performance and security of cryptographic techniques. Genetic algorithms framework for cryptanalysis problem is addressed. A novel extension to the differential cryptanalysis…

神经与进化计算 · 计算机科学 2014-01-16 Ayman M. Bahaa-Eldin

The fuzzy commitment scheme is a cryptographic primitive that can be used to store biometric templates being encoded as fixed-length feature vectors protected. If multiple related records generated from the same biometric instance can be…

密码学与安全 · 计算机科学 2014-09-23 Benjamin Tams