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Multi-Key Homomorphic Encryption (MKHE), proposed by Lopez-Alt et al. (STOC 2012), allows for performing arithmetic computations directly on ciphertexts encrypted under distinct keys. Subsequent works by Chen and Dai et al. (CCS 2019) and…

Cryptography and Security · Computer Science 2025-10-24 Jiahui Wu , Tiecheng Sun , Fucai Luo , Haiyan Wang , Weizhe Zhang

Recently, Hwang et al. introduced a knapsack type public-key cryptosystem. They proposed a new algorithm called permutation combination algorithm. By exploiting this algorithm, they attempt to increase the density of knapsack to avoid the…

Cryptography and Security · Computer Science 2013-09-17 Roohallah Rastaghi

Recent developments in differentially private (DP) machine learning and DP Bayesian learning have enabled learning under strong privacy guarantees for the training data subjects. In this paper, we further extend the applicability of DP…

Machine Learning · Statistics 2019-06-18 Mikko A. Heikkilä , Joonas Jälkö , Onur Dikmen , Antti Honkela

Recent results of Kaplan et al., building on previous work by Kuwakado and Morii, have shown that a wide variety of classically-secure symmetric-key cryptosystems can be completely broken by quantum chosen-plaintext attacks (qCPA). In such…

Quantum Physics · Physics 2017-10-11 Gorjan Alagic , Alexander Russell

We introduce a scheme for secure multi-party computation utilising the quantum correlations of entangled states. First we present a scheme for two-party computation, exploiting the correlations of a Greenberger-Horne-Zeilinger state to…

Quantum Physics · Physics 2010-07-27 Klearchos Loukopoulos , Daniel E. Browne

The Quantum Key Distribution protocol can encode a single quantum state and implements an information-theoretically secure key distribution protocol in communication. In the actual QKD experimental system, there are usually two encoding…

Quantum Physics · Physics 2020-08-26 Gao Feifei , Li Zhihui , Liu Chengji , Han Duo

We report on a recent implementation of Giesbrecht's algorithm for factoring polynomials in a skew-polynomial ring. We also discuss the equivalence between factoring polynomials in a skew-polynomial ring and decomposing $p^s$-polynomials…

Commutative Algebra · Mathematics 2016-11-15 Robert S. Coulter , George Havas , Marie Henderson

In this Comment we question the security of recently proposed by Degiovanni et al. [Phys. Rev. A 69 (2004) 032310] scheme of quantum dense key distribution.

Quantum Physics · Physics 2009-11-10 Antoni Wojcik

{\em Verifiable computation} (VC) allows a computationally weak client to outsource the evaluation of a function on many inputs to a powerful but untrusted server. The client invests a large amount of off-line computation and gives an…

Cryptography and Security · Computer Science 2013-09-04 Liang Feng Zhang , Rehanehi Safavi-Naini

The simple security property in an information flow policy can be enforced by encrypting data objects and distributing an appropriate secret to each user. A user derives a suitable decryption key from the secret and publicly available…

Cryptography and Security · Computer Science 2015-05-01 Jason Crampton , Naomi Farley , Gregory Gutin , Mark Jones

DAGS scheme is a key encapsulation mechanism (KEM) based on quasi-dyadic alternant codes that was submitted to NIST standardization process for a quantum resistant public key algorithm. Recently an algebraic attack was devised by Barelli…

Cryptography and Security · Computer Science 2021-03-05 Magali Bardet , Manon Bertin , Alain Couvreur , Ayoub Otmani

By introducing a generalized notion of multiple zeta values associated with an arbitrary finite subset $S\subset \mathbb{P}^1(\mathbb{C})$ and studying their transformation properties under rational functions, we show that multiple…

Number Theory · Mathematics 2026-01-05 Kam Cheong Au

We have developed a patch implementing multivariate polynomials seen as a multi-base algebra. The patch is to be released into the software Sage and can already be found within the Sage-Combinat distribution. One can use our patch to define…

Combinatorics · Mathematics 2012-07-03 Viviane Pons

The privacy-preserving federated learning schemes based on the setting of two honest-but-curious and non-colluding servers offer promising solutions in terms of security and efficiency. However, our investigation reveals that these schemes…

Cryptography and Security · Computer Science 2025-07-31 Jiahui Wu , Fucai Luo , Tiecheng Sun , Haiyan Wang , Weizhe Zhang

Preserving data confidentiality in clouds is a key issue. Secret Sharing, a cryptographic primitive for the distribution of a secret among a group of $n$ participants designed so that only subsets of shareholders of cardinality $0 < t \leq…

Cryptography and Security · Computer Science 2015-09-04 Massimo Cafaro , Piergiuseppe Pellè

A path integral Monte Carlo method based on the worm algorithm has been developed to compute the chemical potential of interacting bosonic quantum fluids. By applying it to finite-sized systems of helium-4 atoms, we have confirmed that the…

Statistical Mechanics · Physics 2014-06-24 C. M. Herdman , A. Rommal , A. Del Maestro

We propose a new approach in cryptanalysis based on an evolution of the concept of \textit{Combinatorial Equivalence}. The aim is to rewrite a cryptosystem under a combinatorially equivalent form in order to make appear new properties that…

Cryptography and Security · Computer Science 2026-03-04 Jaagup Sepp , Eric Filiol

The Chrysalis project is a proposed method for post-quantum cryptography using the Riemann sphere. To this end, Riemann primitives are introduced in addition to a novel implementation of this new method. Chrysalis itself is the first…

Cryptography and Security · Computer Science 2023-07-26 Ian Malloy

Smale's alpha-theory certifies that Newton iterations will converge quadratically to a solution of a square system of analytic functions based on the Newton residual and all higher order derivatives at the given point. Shub and Smale…

Numerical Analysis · Mathematics 2016-04-06 Jonathan D. Hauenstein , Viktor Levandovskyy

Monte Carlo is a simple and flexible tool that is widely used in computational finance. In this context, it is common for the quantity of interest to be the expected value of a random variable defined via a stochastic differential equation.…

Numerical Analysis · Mathematics 2015-05-06 Desmond J. Higham
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