Results 31 to 40 of about 211 (125)
Topological analysis of number theory and its applications in quantum cryptography [PDF]
مجلة جامعة الانبار للعلوم الصرفةThis study investigates the application of algebraic topology, in particular homology theory and persistent homology. It includes the analysis of elliptic curves and their use in cryptographic systems and cybersecurity.
Noor Kadhim, Ruaa Abd, Saja AL-Khafaji
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A Hardware-Accelerated ECDLP with High-Performance Modular Multiplication
International Journal of Reconfigurable Computing, 2012 Elliptic curve cryptography (ECC) has become a popular public key cryptography standard. The security of ECC is due to the difficulty of solving the elliptic curve discrete logarithm problem (ECDLP).
Lyndon Judge +2 more
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IPChain: Blockchain-Based Security Protocol for IoT Address Management Servers in Smart Homes
Journal of Sensor and Actuator Networks, 2022 The dynamic host configuration protocol (DHCP) servers are forms of an Internet of Things (IoT) address management server (IoTAMS) that gives network configuration settings to newly connected hosts.
Bello Musa Yakubu +2 more
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Accelerating Baby-step Giant-step Algorithm for Solving ECDLP Using Elliptic Divisibility Sequences
Transactions on Cryptographic Hardware and Embedded SystemsThe elliptic curve discrete logarithm problem (ECDLP) is the foundation of the security of elliptic curve cryptography. The baby-step giant-step (BSGS) method is a generic deterministic algorithm, based on a space-time tradeoff, to solve the discrete ...
Ziwen Liao, Fangguo Zhang
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Provably-Secure (Chinese Government) SM2 and Simplified SM2 Key Exchange Protocols
The Scientific World Journal, 2014 We revisit the SM2 protocol, which is widely used in Chinese commercial applications and by Chinese government agencies. Although it is by now standard practice for protocol designers to provide security proofs in widely accepted security models in order
Ang Yang +3 more
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Complexity bounds on Semaev’s naive index calculus method for ECDLP
Journal of Mathematical Cryptology, 2020 Since Semaev introduced summation polynomials in 2004, a number of studies have been devoted to improving the index calculus method for solving the elliptic curve discrete logarithm problem (ECDLP) with better complexity than generic methods such as ...
Yokoyama Kazuhiro +3 more
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Depth Optimization of FLT-Based Quantum Inversion Circuit
IEEE Access, 2023 Works on quantum computing and cryptanalysis have increased significantly in the past few years. Various constructions of quantum arithmetic circuits as one of the primary elements in the field have also been proposed. However, there have only been a few
Harashta Tatimma Larasati +4 more
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Mathematics, 2020 Blockchain technology has attracted a lot of research interest in the last few years. Originally, their consensus algorithm was Hashcash, which is an instance of the so-called Proof-of-Work. Nowadays, there are several competing consensus algorithms, not
Alessio Meneghetti +2 more
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IET Communications, Volume 20, Issue 1, January/December 2026.This paper presents a lightweight mutual authentication protocol for VANETs that integrates SDN, edge computing, and ECC to achieve low‐latency, scalable, and privacy‐preserving vehicle communication. The proposed system reduces authentication delay and computational overhead while supporting batch verification and conditional identity traceability ...
Adi El‐Dalahmeh, Layla Albdour
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Applied SciencesStarting from the basic form of GN-authenticated key agreement (GN-AK), the current research proposes an improved protocol by integrating a new scalar multiplication technique based on a dual-base chain representation with bases 1/2 and 3.
Nicolae Constantinescu +2 more
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