English
Related papers

Related papers: A multifactor RSA-like scheme with fast decryption…

200 papers

Multi-objective integer optimization problems are hard to solve, mainly because the number of nondominated images is often extremely large. We present the first exact algorithm, called PEA, that fully utilizes the multicore architecture of…

Optimization and Control · Mathematics 2026-02-13 Kathrin Prinz , Levin Nemesch , Stefan Ruzika

The development of the Parallel ROOT Facility, PROOF, enables a physicist to analyze and understand much larger data sets on a shorter time scale. It makes use of the inherent parallelism in event data and implements an architecture that…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Maarten Ballintijn , Rene Brun , Fons Rademakers , Gunther Roland

The sum-rank metric is the mixture of the Hamming and rank metrics. The sum-rank metric found its application in network coding, locally repairable codes, space-time coding, and quantum-resistant cryptography. Linearized Reed-Solomon (LRS)…

Information Theory · Computer Science 2026-02-10 Kuo Shang , Chen Yuan , Ruiqi Zhu

The article explores the creation of a cryptosystem using a halidon group ring of a dihedral group. Due to the non-abelian nature of the group, constructing the cryptosystem is more challenging compared to an abelian group. The logic used…

Cryptography and Security · Computer Science 2024-10-29 A. Telveenus

We investigate the advantages of high-dimensional encoding for a quantum key distribution protocol. In particular, we address a BBM92-like protocol where the dimension of the systems can be larger than two and more than two mutually…

Quantum Physics · Physics 2026-04-21 Nikolai Wyderka , Giovanni Chesi , Hermann Kampermann , Chiara Macchiavello , Dagmar Bruß

In cryptography, secure Multi-Party Computation (MPC) protocols allow participants to compute a function jointly while keeping their inputs private. Recent breakthroughs are bringing MPC into practice, solving fundamental challenges for…

Cryptography and Security · Computer Science 2018-06-01 David Butler , David Aspinall , Adria Gascon

For a real parameter $r$, the RSA integers are integers which can be written as the product of two primes $pq$ with $p<q\leq rp$, which are named after the importance of products of two primes in the RSA-cryptography. Several authors…

Number Theory · Mathematics 2019-08-27 Sumaia Saad Eddin , Yuta Suzuki

We present a lattice-based scheme for homomorphic evaluation of quantum programs and proofs that remains secure against quantum adversaries. Classical homomorphic encryption is lifted to the quantum setting by replacing composite-order…

Quantum Physics · Physics 2025-05-01 Ben Goertzel

We present a new algorithm to compute minimal telescopers for rational functions in two discrete variables. As with recent reduction-based approaches, our algorithm has the important feature that the computation of a telescoper is…

Symbolic Computation · Computer Science 2021-08-10 Mark Giesbrecht , Hui Huang , George Labahn , Eugene Zima

The large-alphabet quantum cryptography protocol based on the two-mode coherently correlated multi-photon beams is proposed. The alphabet extension for the protocol is shown to result in the increase of the QKD effectiveness and security.

Quantum Physics · Physics 2010-03-02 Vladyslav C. Usenko , Bohdan I. Lev

An iterative algorithm is presented for soft-input-soft-output (SISO) decoding of Reed-Solomon (RS) codes. The proposed iterative algorithm uses the sum product algorithm (SPA) in conjunction with a binary parity check matrix of the RS…

Information Theory · Computer Science 2009-09-29 Jing Jiang , Krishna R. Narayanan

We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transformations. In this study, we apply our methodology to the…

Software Engineering · Computer Science 2008-11-18 Harry B. Hunt , Lenore R. Mullin , Daniel J. Rosenkrantz , James E. Raynolds

Secure norm computation is becoming increasingly important in many real-world learning applications. However, existing cryptographic systems often lack a general framework for securely computing the $L^p$-norm over private inputs held by…

Cryptography and Security · Computer Science 2025-09-09 Ali Arastehfard , Weiran Liu , Joshua Lee , Bingyu Liu , Xuegang Ban , Yuan Hong

We initiate the study of computational problems on elliptic curve isogeny graphs defined over RSA moduli. We conjecture that several variants of the neighbor-search problem over these graphs are hard, and provide a comprehensive list of…

Number Theory · Mathematics 2019-05-15 Salim Ali Altug , Yilei Chen

An important property of high-performance, low complexity codes is the existence of highly efficient algorithms for their decoding. Many of the most efficient, recent graph-based algorithms, e.g. message passing algorithms and decoding…

Information Theory · Computer Science 2007-07-13 Ralf Koetter , Wen-Ching W. Li , Pascal O. Vontobel , Judy L. Walker

In 2013, Tsai et al. cryptanalyzed Yeh et al. scheme and shown that Yeh et al., scheme is vulnerable to various cryptographic attacks and proposed an improved scheme. In this poster we will show that Tsai et al., scheme is also vulnerable…

Cryptography and Security · Computer Science 2014-01-24 Vorugunti Chandra Sekhar , Mrudula Sarvabhatla

Robust principal component analysis (RPCA) has been widely used for recovering low-rank matrices in many data mining and machine learning problems. It separates a data matrix into a low-rank part and a sparse part. The convex approach has…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Chong Peng , Zhao Kang , Qiang Chen

Based on the notion of supercodes, we propose a two-phase maximum-likelihood soft-decision decoding (tpMLSD) algorithm for binary linear block codes in this work. The first phase applies the Viterbi algorithm backwardly to a trellis derived…

Information Theory · Computer Science 2014-08-07 Yunghsiang S. Han , Hung-Ta Pai , Po-Ning Chen , Ting-Yi Wu

We achieve a quantum speed-up of fully polynomial randomized approximation schemes (FPRAS) for estimating partition functions that combine simulated annealing with the Monte-Carlo Markov Chain method and use non-adaptive cooling schedules.…

Quantum Physics · Physics 2013-06-12 Pawel Wocjan , Chen-Fu Chiang , Anura Abeyesinghe , Daniel Nagaj

A general polarizable embedded (PE) quantum mechanics/molecular mechanics scheme for periodic systems is presented, describing mutual polarization of the two subsystems. The QM system, described with density functional theory (DFT), is…