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Blockchain technology holds promise for Web 3.0, but scalability remains a critical challenge. Here, we present a mathematical theory for a novel blockchain network topology based on fractal N-dimensional simplexes. This Hyper-simplex…

Networking and Internet Architecture · Computer Science 2024-10-02 Kaiwen Yang , Hao Xu , Yunqing Sun , Jiacheng Qian , Zihan Zhou , Xiaoshuai Zhang , Erwu Liu , Lei Zhang , Chih-Lin I

This paper introduces a novel cryptographic approach based on the continuous logarithm in the complex circle, designed to address the challenges posed by quantum computing. By leveraging its multi-valued and spectral properties, this…

Cryptography and Security · Computer Science 2025-01-22 Jaafar Gaber

Recently, an image block encryption algorithm was proposed based on some well-known chaotic maps. The authors claim that the encryption algorithm achieves enough security level and high encryption speed at the same time. In this paper, we…

Cryptography and Security · Computer Science 2020-03-24 Yunling Ma , Chengqing Li , Bo Ou

Recently, a novel public key edcryption technique based on multiple chaotic systems has been proposed. The scheme employs m-chaotic systmes and a set of linear functions for key exchange over an insecure channel. The security of the…

Chaotic Dynamics · Physics 2009-11-11 K. wang , W. J. Pei , Z. L. Hua , Z. Y. He

Cryptocurrencies and Web3 applications based on blockchain technology have flourished in the blockchain research field. Unlike Bitcoin and Ethereum, due to its unique architectural designs in consensus mechanisms, resource management, and…

Cryptography and Security · Computer Science 2025-09-23 Qian'ang Mao , Jiaxin Wang , Zhiqi Feng , Yi Zhang , Jiaqi Yan

Crypto-assets and central bank digital currencies (CBDCs) are reshaping how value is exchanged in distributed computing environments. These systems combine cryptographic primitives, protocol design, and system architectures to provide…

Cryptography and Security · Computer Science 2026-04-02 Matteo Nardelli , Francesco De Sclavis , Michela Iezzi

As the number of hacking events and cyber threats keeps going up, it is getting harder and harder to communicate securely and keep personal information safe on the Internet. Cryptography is a very important way to deal with these problems…

Cryptography and Security · Computer Science 2023-11-29 Kashif Ishaq , Awais Ahmed Qarni

Most currently used cryptographic tools for protecting data are based on certain computational assumptions, which makes them vulnerable with respect to technological and algorithmic developments, such as quantum computing. One existing…

Quantum Physics · Physics 2023-04-28 Aleksey K. Fedorov

We discuss a new attack, termed a dimension or linear decomposition attack, on several known group-based cryptosystems. This attack gives a polynomial time deterministic algorithm that recovers the secret shared key from the public data in…

Group Theory · Mathematics 2015-06-18 Vitaliǐ Roman'kov , Alexei Myasnikov

In this survey we propose to cover the prose of post-quantum cryptography over classical cryptography. We talk about the various cryptographic methods that are being practiced to safeguard our information. The future of secure communication…

Cryptography and Security · Computer Science 2024-02-19 Pranjal , Atul Chaturvedi

Recently, cybersecurity becomes more and more important due to the rapid development of Internet. However, existing methods are in reality highly sensitive to attacks and are far more vulnerable than expected, as they are lack of trustable…

Cryptography and Security · Computer Science 2018-11-28 Yu Han , Zhongru Wang , Qiang Ruan , Binxing Fang

Cryptography plays a pivotal role in safeguarding sensitive information and facilitating secure communication. Classical cryptography relies on mathematical computations, whereas quantum cryptography operates on the principles of quantum…

Cryptography and Security · Computer Science 2024-03-31 Tanmay Tripathi , Abhinav Awasthi , Shaurya Pratap Singh , Atul Chaturvedi

Classical cryptographic systems rely heavily on structured algebraic problems, such as factorization, discrete logarithms, or lattice-based assumptions, which are increasingly vulnerable to quantum attacks and structural cryptanalysis. In…

Cryptography and Security · Computer Science 2025-06-06 Mohamed Aly Bouke

In this work, a new 4-D hyperchaotic system for image encryption is proposed and its effectiveness is demonstrated by incorporating it into an existing Elliptic Curve Cryptography (ECC) mapping scheme. The proposed system is considered…

Cryptography and Security · Computer Science 2024-11-27 Yehia Lalili , Toufik Bouden , Morad Grimes , Abderrazek Lachouri

A fractal is in essence a hierarchy with cascade structure, which can be described with a set of exponential functions. From these exponential functions, a set of power laws indicative of scaling can be derived. Hierarchy structure and…

Physics and Society · Physics 2017-07-13 Yanguang Chen

Existing large-scale optimization schemes are challenged by both scalability and cyber-security. With the favorable scalability, adaptability, and flexibility, decentralized and distributed optimization paradigms are widely adopted in…

Optimization and Control · Mathematics 2020-12-23 Xiang Huo , Mingxi Liu

Homomorphic encryption is a sophisticated encryption technique that allows computations on encrypted data to be done without the requirement for decryption. This trait makes homomorphic encryption appropriate for safe computation in…

Cryptography and Security · Computer Science 2023-05-11 Nimish Jain , Aswani Kumar Cherukuri

Privacy is one of the key issues addressed by information Security. Through cryptographic encryption methods, one can prevent a third party from understanding transmitted raw data over unsecured channel during signal transmission. The…

Cryptography and Security · Computer Science 2013-07-31 Quist-Aphetsi Kester

HyperFrog is an experimental post-quantum Key Encapsulation Mechanism that explores a variant of the Learning With Errors (LWE) design space in which the secret is not sampled from an independent product distribution, but is…

Cryptography and Security · Computer Science 2026-03-30 Victor Duarte Melo

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
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