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We present e cient algorithms for computing isogenies between hyperelliptic curves, leveraging higher genus curves to enhance cryptographic protocols in the post-quantum context. Our algorithms reduce the computational complexity of isogeny…

数论 · 数学 2025-04-08 Mohammed El Baraka , Siham Ezzouak

The rapid advancement of quantum computing poses a critical threat to classical cryptographic algorithms such as RSA and ECC, particularly in Internet of Things (IoT) devices, where secure communication is essential but often constrained by…

密码学与安全 · 计算机科学 2025-07-14 Jesus Lopez , Viviana Cadena , Mohammad Saidur Rahman

The Isogeny to Endomorphism Ring Problem (IsERP) asks to compute the endomorphism ring of the codomain of an isogeny between supersingular curves in characteristic $p$ given only a representation for this isogeny, i.e. some data and an…

密码学与安全 · 计算机科学 2023-06-02 Mingjie Chen , Muhammad Imran , Gábor Ivanyos , Péter Kutas , Antonin Leroux , Christophe Petit

Confidentiality in our digital world is based on the security of cryptographic algorithms. These are usually executed transparently in the background, with people often relying on them without further knowledge. In the course of…

密码学与安全 · 计算机科学 2023-11-28 Peter Hillmann

An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between elliptic curves efficiently. For ordinary curves of the same…

数论 · 数学 2014-02-12 David Jao , Vladimir Soukharev

In the field of Computer Science and Information Technology Internet of Things (IoT) is one of the emerging technologies. In IoT environment several devices are interconnected and transmit data among them. There may be some security…

密码学与安全 · 计算机科学 2023-11-21 Prokash Barmana , Banani Saha

Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isogeny is believed to be computationally difficult. The fastest…

量子物理 · 物理学 2018-04-17 Andrew M. Childs , David Jao , Vladimir Soukharev

The increasing deployment of the Internet of Things (IoT) edge devices in modern smart grid environments requires secure and efficient communication protocols specifically designed for resource-constrained environments. However, most…

密码学与安全 · 计算机科学 2025-11-12 Amna Zafar , Muhammad Asfand Hafeez , Arslan Munir

In this paper, we study the problem of sampling random supersingular elliptic curves with unknown endomorphism rings. This problem has recently gained considerable attention as many isogeny-based cryptographic protocols require such…

量子物理 · 物理学 2026-03-24 Maher Mamah , Jake Doliskani , David Jao

The convergence of the Internet of Things (IoT) and quantum computing is redefining the security paradigm of interconnected digital systems. Classical cryptographic algorithms such as RSA, Elliptic Curve Cryptography (ECC), and Advanced…

密码学与安全 · 计算机科学 2026-05-29 Jaydip Sen

Due to recent development in quantum computing, the invention of a large quantum computer is no longer a distant future. Quantum computing severely threatens modern cryptography, as the hard mathematical problems beneath classic public-key…

密码学与安全 · 计算机科学 2024-02-01 Tao Liu , Gowri Ramachandran , Raja Jurdak

Isogenies occur throughout the theory of elliptic curves. Recently, the cryptographic protocols based on isogenies are considered as candidates of quantum-resistant cryptographic protocols. Given two elliptic curves $E_1, E_2$ defined over…

数论 · 数学 2020-01-03 Lixia Luo , Guanju Xiao , Yingpu Deng

Nowadays, Internet of Things (IoT) is a trending topic in the computing world. Notably, IoT devices have strict design requirements and are often referred to as constrained devices. Therefore, security techniques and primitives that are…

密码学与安全 · 计算机科学 2020-02-05 Haji Akhundov , Erik van der Sluis , Said Hamdioui , Mottaqiallah Taouil

In antiquity, the seal embodied trust, secrecy, and integrity in safeguarding the exchange of letters and messages. The purpose of this work is to continue this tradition in the contemporary era, characterized by the presence of quantum…

信息论 · 计算机科学 2026-01-19 Andrea Rondelli

Remotely generated data by Intent of Things (IoT) has recently had a lot of attention for their huge benefits such as efficient monitoring and risk reduction. The transmitted streams usually consist of periodical streams (e.g. activities)…

密码学与安全 · 计算机科学 2022-04-05 Sharif Abuadbba , Ayman Ibaida , Ibrahim Khalil

The high rate of development of Internet of Things (IoT) devices has brought to attention new challenges in the area of data security, especially within the resource-limited realm of RFID tags, sensors, and embedded systems. Traditional…

密码学与安全 · 计算机科学 2026-01-07 Brahim Khalil Sedraoui , Abdelmadjid Benmachiche , Amina Makhlouf

The Internet of Things (IoT) relies on resource-constrained devices for data acquisition, but the vast amount of data generated and security concerns present challenges for efficient data handling and confidentiality. Conventional…

密码学与安全 · 计算机科学 2024-10-21 Gajraj Kuldeep , Qi Zhang

Elliptic curve cryptography (ECC) is a remarkable mathematical tool that offers the same level of security as traditional public-key cryptography (PKC) with a significantly smaller key size and lower computational requirements. The use of…

密码学与安全 · 计算机科学 2023-07-20 Mahender Kumar

With the advent of the Internet-of-Things (IoT), vehicular networks and cyber-physical systems, the need for real-time data processing and analysis has emerged as an essential pre-requite for customers' satisfaction. In this direction,…

网络与互联网体系结构 · 计算机科学 2019-07-23 Kuljeet Kaur , Sahil Garg , Georges Kaddoum , Mohsen Guizani , Dushantha Nalin K. Jayakody

The recent surge in security concerns for IoT devices highlights the increasing threat of cryptographic vulnerabilities. These weaknesses can lead to unauthorized access, data breaches, and manipulation of device functions, compromising the…

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