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As one of the most important basic operations, matrix multiplication computation (MMC) has varieties of applications in the scientific and engineering community such as linear regression, k-nearest neighbor classification and biometric…

Cryptography and Security · Computer Science 2021-05-13 Chun Liu , Xuexian Hu , Xiaofeng Chen , Jianghong Wei , Wenfen Liu

Visual cryptography schemes have been introduced in 1994 by Naor and Shamir. Their idea was to encode a secret image into $n$ shadow images and to give exactly one such shadow image to each member of a group $P$ of $n$ persons. Whereas most…

Combinatorics · Mathematics 2007-07-13 Andreas Klein , Markus Wessler

The security of the Elliptic Curve Digital Signature Algorithm (ECDSA) depends on the uniqueness and secrecy of the nonce, which is used in each signature. While it is well understood that nonce $k$ reuse across two distinct messages can…

Cryptography and Security · Computer Science 2025-04-21 Jamie Gilchrist , William J. Buchanan , Keir Finlow-Bates

A distributed computing scenario is considered, where the computational power of a set of worker nodes is used to perform a certain computation task over a dataset that is dispersed among the workers. Lagrange coded computing (LCC),…

Information Theory · Computer Science 2021-02-02 Mahdi Soleymani , Hessam Mahdavifar , A. Salman Avestimehr

A new approach to quantum cryptography to be called KCQ, keyed communication in quantum noise, is developed on the basis of quantum detection and communication theory for classical information transmission. By the use of a shared secret key…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

Quantum key distribution (QKD) was conceived by Charles Bennett and Gilles Brassard in December of 1984. In the ensuing 39 years QKD systems have been deployed around the world to provide secure encryption for terrestrial as well as…

Cryptography and Security · Computer Science 2023-11-20 John J. Prisco

This paper re-examines the security of three related block cipher modes of operation designed to provide authenticated encryption. These modes, known as PES-PCBC, IOBC and EPBC, were all proposed in the mid-1990s. However, analyses of…

Cryptography and Security · Computer Science 2024-06-18 Chris J Mitchell

The computation of collision probability ($\mathcal{P}_c$) is crucial for space environmentalism and sustainability by providing decision-making knowledge that can prevent collisions between anthropogenic space objects. However, the…

Cryptography and Security · Computer Science 2025-01-14 Jihoon Suh , Michael Hibbard , Kaoru Teranishi , Takashi Tanaka , Moriba Jah , Maruthi Akella

Quantum-resistant cryptography is cryptography that aims to deliver cryptographic functions and protocols that remain secure even if large-scale fault-tolerant quantum computers are built. NIST will soon announce the first selected…

Cryptography and Security · Computer Science 2021-12-02 John Preuß Mattsson , Ben Smeets , Erik Thormarker

Quantum key distribution, first proposed by Bennett and Brassard, provides a possible key distribution scheme whose security depends only on the quantum laws of physics. So far the protocol has been proved secure even under channel noise…

Quantum Physics · Physics 2007-05-23 Dominic Mayers , Andrew Yao

The ECDSA (Elliptic Curve Digital Signature Algorithm) is used in many blockchain networks for digital signatures. This includes the Bitcoin and the Ethereum blockchains. While it has good performance levels and as strong current security,…

Cryptography and Security · Computer Science 2025-04-11 William J. Buchanan , Jamie Gilchrist , Keir Finlow-Bates

This paper proposes to put forward an innovative algorithm for symmetric key block cipher named as "Triple Prime Symmetric Key Block Cipher with Variable Key-Spaces (TPSKBCVK)" that employs triple prime integers as private key-spaces of…

Cryptography and Security · Computer Science 2012-03-19 Abhijit Chowdhury , Angshu Kumar Sinha , Saurabh Dutta

We study a key exchange protocol based on isogenies between ordinary elliptic curves over a finite field, first mentioned by Couveignes and investigated by Rostovtsev and Stolbunov. After presenting the fundamental notions about elliptic…

Number Theory · Mathematics 2018-04-27 Jean Kieffer

The advent of edge computing has enabled resource-constrained clients to delegate intensive computational tasks to distributed edge servers, especially within Internet of Things (IoT) environments. Among such tasks, Matrix Determinant…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-22 Prajwal Panth

Due to the weakness of public key cryptosystems encounter of quantum computers, the need to provide a solution was emerged. The McEliece cryptosystem and its security equivalent, the Niederreiter cryptosystem, which are based on Goppa…

Cryptography and Security · Computer Science 2023-10-11 Arash Khalvan , Amirhossein Zali , Mahmoud Ahmadian Attari

Why study Lattice-based Cryptography? There are a few ways to answer this question. 1. It is useful to have cryptosystems that are based on a variety of hard computational problems so the different cryptosystems are not all vulnerable in…

Cryptography and Security · Computer Science 2022-09-29 Yang Li , Kee Siong Ng , Michael Purcell

We introduce a binary embedding framework, called Proximity Preserving Code (PPC), which learns similarity and dissimilarity between data points to create a compact and affinity-preserving binary code. This code can be used to apply fast…

Machine Learning · Computer Science 2020-02-06 Inbal Lav , Shai Avidan , Yoram Singer , Yacov Hel-Or

Coded computing is one of the techniques that can be used for privacy protection in Federated Learning. However, most of the constructions used for coded computing work only under the assumption that the computations involved are exact,…

Privacy-preserving computation (PPC) methods, such as secure multiparty computation (MPC) and homomorphic encryption (HE), are deployed increasingly often to guarantee data confidentiality in computations over private, distributed data.…

Cryptography and Security · Computer Science 2024-04-17 Tariq Bontekoe , Dimka Karastoyanova , Fatih Turkmen

We introduce a new approach to computation on encrypted data -- Encrypted Operator Computing (EOC) -- as an alternative to Fully Homomorphic Encryption (FHE). Given a plaintext vector $|{x}\rangle$, $x\in \{0,1\}^n$, and a function $F(x)$…

Cryptography and Security · Computer Science 2022-11-14 Claudio Chamon , Jonathan Jakes-Schauer , Eduardo R. Mucciolo , Andrei E. Ruckenstein
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