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The elliptic curve discrete logarithm problem is considered a secure cryptographic primitive. The purpose of this paper is to propose a paradigm shift in attacking the elliptic curve discrete logarithm problem. In this paper, we will argue…

Cryptography and Security · Computer Science 2023-06-22 Ansari Abdullah , Ayan Mahalanobis , Vivek M. Mallick

Protecting the privacy of blockchain transactions is extremely important for users. Stealth address protocols (SAP) allow users to receive assets via stealth addresses that they do not associate with their stealth meta-addresses. SAP can be…

Cryptography and Security · Computer Science 2024-09-17 Marija Mikic , Mihajlo Srbakoski

The survey presents the evolution of Short Weierstrass elliptic curves after their introduction in cryptography. Subsequently, this evolution resulted in the establishment of present elliptic curve computational standards. We discuss the…

Cryptography and Security · Computer Science 2022-08-04 Kunal Abhishek , E. George Dharma Prakash Raj

The Discrete Logarithm Problem (DLP) for elliptic curves has been extensively studied since, for instance, it is the core of the security of cryptosystems like Elliptic Curve Cryptography (ECC). In this paper, we present an attack to the…

Algebraic Geometry · Mathematics 2023-04-28 Giuseppe Filippone

Digital signatures guarantee the authenticity and transferability of messages, and are widely used in modern communication. The security of currently used classical digital signature schemes, however, relies on computational assumptions. In…

Quantum Physics · Physics 2015-04-09 Petros Wallden , Vedran Dunjko , Adrian Kent , Erika Andersson

This paper introduces Elliptic Curve Modulation (ECM), a novel modulation scheme that can be leveraged to effectively shuffle transmitted data while maintaining symbol error probability (SEP) performance equivalent to unencrypted systems.…

Signal Processing · Electrical Eng. & Systems 2025-05-21 Thrassos K. Oikonomou , George K. Karagiannidis

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…

Cryptography and Security · Computer Science 2023-11-28 Peter Hillmann

This paper suggests a message authentication scheme, which can be efficiently used for secure digital signature creation. The algorithm used here is an adjusted union of the concepts which underlie projective geometry and group structure on…

Cryptography and Security · Computer Science 2017-08-17 Abhinav Aggarwal

The quantum digital signature protocol offers a replacement for most aspects of public-key digital signatures ubiquitous in today's digital world. A major advantage of a quantum-digital-signatures protocol is that it can have…

Quantum Physics · Physics 2025-01-16 Joseph C. Chapman , Muneer Alshowkan , Bing Qi , Nicholas A. Peters

In this paper we study extensively the discrete logarithm problem in the group of non-singular circulant matrices. The emphasis of this study was to find the exact parameters for the group of circulant matrices for a secure implementation.…

Cryptography and Security · Computer Science 2012-07-06 Ayan Mahalanobis

Authenticity of access in very information are very important in the current era of Internet-based technology, there are many ways to secure information from irresponsible parties with various security attacks, some of technique can use for…

In this paper, we present a new diverse class of post-quantum group-based Digital Signature Schemes (DSS). The approach is significantly different from previous examples of group-based digital signatures and adopts the framework of group…

Cryptography and Security · Computer Science 2023-06-28 Christopher Battarbee , Delaram Kahrobaei , Ludovic Perret , Siamak F. Shahandashti

In this paper we consider a post-quantum digital signature scheme based on low-density generator matrix codes and propose efficient algorithmic solutions for its implementation. We also review all known attacks against this scheme and…

Cryptography and Security · Computer Science 2018-07-18 Marco Baldi , Alessandro Barenghi , Franco Chiaraluce , Gerardo Pelosi , Joachim Rosenthal , Paolo Santini , Davide Schipani

Digital signature algorithms (DSAs) are fundamental to cryptographic security, ensuring data integrity and authentication. While RSA, DSA, ECDSA, and EdDSA are widely used, their performance varies significantly depending on key sizes, hash…

Cryptography and Security · Computer Science 2025-06-02 Sefik Serengil , Alper Ozpinar

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

In recent years, with the advancement of quantum computing, mainstream asymmetric cryptographic methods in the current Public Key Infrastructure (PKI) systems are gradually being threatened. Therefore, this study explores X.509 security…

Cryptography and Security · Computer Science 2024-08-06 Abel C. H. Chen

Guaranteeing nonrepudiation, unforgeability as well as transferability of a signature is one of the most vital safeguards in today's e-commerce era. Based on fundamental laws of quantum physics, quantum digital signature (QDS) aims to…

Quantum Physics · Physics 2016-03-23 Hua-Lei Yin , Yao Fu , Zeng-Bing Chen

RSA(Rivest, Shamir and Adleman)is being used as a public key exchange and key agreement tool for many years. Due to large numbers involved in RSA, there is need for more efficient methods in implementation for public key cryptosystems.…

Cryptography and Security · Computer Science 2011-09-12 Muhammad Yasir Malik

The rapid growth of cloud computing and Internet of Things (IoT) applications faces several threats, such as latency, security, network failure, and performance. These issues are solved with the development of fog computing, which brings…

Cryptography and Security · Computer Science 2024-08-07 Mohamed Ali Shaaban , Almohammady S. Alsharkawy , Mohammad T. AbouKreisha , Mohammed Abdel Razek

The long-term security of public blockchains strictly depends on the hardness assumptions of the underlying digital signature schemes. In the current scenario, most deployed cryptocurrencies and blockchain platforms rely on elliptic-curve…

Cryptography and Security · Computer Science 2026-01-27 Tushar Jain