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In this survey, we describe a general key exchange protocol based on semidirect product of (semi)groups (more specifically, on extensions of (semi)groups by automorphisms), and then focus on practical instances of this general idea. This…

Cryptography and Security · Computer Science 2016-04-21 Delaram Kahrobaei , Vladimir Shpilrain

Matrix factorization is a common machine learning technique for recommender systems. Despite its high prediction accuracy, the Bayesian Probabilistic Matrix Factorization algorithm (BPMF) has not been widely used on large scale data because…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-12 Tom Vander Aa , Imen Chakroun , Tom Haber

Mixed Boolean-Arithmetic (MBA) obfuscation is a common technique used to transform simple expressions into semantically equivalent but more complex combinations of boolean and arithmetic operators. Its widespread usage in DRM systems,…

Cryptography and Security · Computer Science 2024-06-24 Colton Skees

Diffie-Hellman key exchange is at the foundations of public-key cryptography, but conventional group-based Diffie-Hellman is vulnerable to Shor's quantum algorithm. A range of "post-quantum Diffie-Hellman" protocols have been proposed to…

Cryptography and Security · Computer Science 2019-12-17 Benjamin Smith

We present a new key exchange protocol based on circulant matrices acting on matrices over a congruence-simple semiring. We describe how to compute matrices with the necessary properties for the implementation of the protocol. Additionally,…

Commutative Algebra · Mathematics 2025-05-14 Alvaro Otero Sanchez

Homomorphic secret sharing (HSS) enables two servers to locally perform functions on encrypted data directly and obtain the results in the form of shares. A Paillier-based HSS solution seamlessly achieves multiplicative homomorphism and…

Cryptography and Security · Computer Science 2024-10-10 Weiquan Deng , Bowen Zhao , Yang Xiao , Yantao Zhong , Qingqi Pei , Ximeng Liu

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

This paper presents an efficient technique for matrix-vector and vector-transpose-matrix multiplication in distributed-memory parallel computing environments, where the matrices are unstructured, sparse, and have a substantially larger…

Mathematical Software · Computer Science 2018-12-04 Jonathan Eckstein , Gyorgy Matyasfalvi

Tensor operations, such as matrix multiplication, are central to large-scale machine learning applications. For user-driven tasks these operations can be carried out on a distributed computing platform with a master server at the user side…

Information Theory · Computer Science 2019-01-24 Malihe Aliasgari , Osvaldo Simeone , Joerg Kliewer

This paper presents a novel methodology to test the security of the Diffie-Hellman public key exchange protocol. The security of many cryptographic schemes rely on the hardness of this problem. We are presenting a purely statistical test to…

Statistics Theory · Mathematics 2007-06-13 I. Florescu , A. Myasnikov , A. Mahalanobis

Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve methods are number theory based and hence depend on the structure of abelian groups. The…

Cryptography and Security · Computer Science 2011-03-23 Benjamin Fine , Maggie Habeeb , Delaram Kahrobaei , Gerhard Rosenberger

This paper presents a new efficient protocol for k-out-of-n oblivious transfer which is a generalization of Parakh's 1-out-of-2 oblivious transfer protocol based on Diffie-Hellman key exchange. In the proposed protocol, the parties involved…

Cryptography and Security · Computer Science 2009-09-16 Ashwin Jain , C Hari

Sparse matrix multiplication is traditionally performed in memory and scales to large matrices using the distributed memory of multiple nodes. In contrast, we scale sparse matrix multiplication beyond memory capacity by implementing sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-15 Da Zheng , Disa Mhembere , Vince Lyzinski , Joshua Vogelstein , Carey E. Priebe , Randal Burns

MDS matrices play a critical role in the design of diffusion layers for block ciphers and hash functions due to their optimal branch number. Involutory and orthogonal MDS matrices offer additional benefits by allowing identical or nearly…

Cryptography and Security · Computer Science 2026-01-23 Yogesh Kumar , Susanta Samanta , Atul Gaur

Secret sharing is a method of dividing a secret among n par- ticipants and allows only qualified subset to reconstruct the secret and hence provides better reliability and availability of secret data.In the generalized secret sharing…

Cryptography and Security · Computer Science 2014-07-15 V P Binu , A Sreekumar

This paper presents modifications of the Diffie-Hellman (DH) key exchange method. The presented modifications provide better security than other key exchange methods. We are going to present a dynamic security that simultaneously realizes…

Cryptography and Security · Computer Science 2012-01-27 Sohail Abid , Shahid Abid

Due to implementation constraints the XOR operation is widely used in order to combine plaintext and key bit-strings in secret-key block ciphers. This choice directly induces the classical version of the differential attack by the use of…

Discrete Mathematics · Computer Science 2011-01-14 Laurent Poinsot

A Post-Quantum Key Exchange is needed since the availability of quantum computers that allegedly allow breaking classical algorithms like Diffie-Hellman, El Gamal, RSA and others within a practical amount of time is broadly assumed in…

Cryptography and Security · Computer Science 2018-01-22 G. Brands , C. B. Roellgen , K. U. Vogel

Bitmap indexes are routinely used to speed up simple aggregate queries in databases. Set operations such as intersections, unions and complements can be represented as logical operations (AND, OR, NOT). However, less is known about the…

Databases · Computer Science 2016-11-16 Owen Kaser , Daniel Lemire

This paper proposes a frequent itemset mining algorithm based on the Boolean matrix method, aiming to solve the storage and computational bottlenecks of traditional frequent pattern mining algorithms in high-dimensional and large-scale…

Databases · Computer Science 2024-12-30 Xuan Li , Tingyi Ruan , Yankaiqi Li , Quanchao Lu , Xiaoxuan Sun