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We give a detailed account of the use of $\mathbb{Q}$-curve reductions to construct elliptic curves over $\mathbb{F}\_{p^2}$ with efficiently computable endomorphisms, which can be used to accelerate elliptic curve-based cryptosystems in…

Cryptography and Security · Computer Science 2015-03-25 Benjamin Smith

Security protocols are concurrent processes that communicate using cryptography with the aim of achieving various security properties. Recent work on their formal verification has brought procedures and tools for deciding trace equivalence…

Cryptography and Security · Computer Science 2015-09-08 David Baelde , Stéphanie Delaune , Lucca Hirschi

In todays world, Cloud computing has attracted research communities as it provides services in reduced cost due to virtualizing all the necessary resources. Even modern business architecture depends upon Cloud computing .As it is a internet…

Cryptography and Security · Computer Science 2014-11-26 Debajyoti Mukhopadhyay , Ashay Shirwadkar , Pratik Gaikar , Tanmay Agrawal

We present a proposal for an undeniable signature scheme based in supersingular hyperelliptic curves of genus 2.

Cryptography and Security · Computer Science 2019-08-21 Ramsès Fernàndez-València

A novel original procedure of encryption/decryption based on the polyadic algebraic structures and on signal processing methods is proposed. First, we use signals with integer amplitudes to send information. Then we use polyadic techniques…

Cryptography and Security · Computer Science 2025-11-14 Steven Duplij , Qiang Guo

Decentralised identifiers have become a standardised element of digital identity architecture, with supra-national organisations such as the European Union adopting them as a key component for a unified European digital identity ledger.…

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…

Cryptography and Security · Computer Science 2025-11-12 Amna Zafar , Muhammad Asfand Hafeez , Arslan Munir

The elliptic curve discrete logarithm problem is of fundamental importance in public-key cryptography. It is in use for a long time. Moreover, it is an interesting challenge in computational mathematics. Its solution is supposed to provide…

Cryptography and Security · Computer Science 2023-10-09 Ansari Abdullah , Ayan Mahalanobis

Cryptography underpins the security of modern digital infrastructure, from cloud services to health data. However, many widely deployed systems will become vulnerable after the advent of scalable quantum computing. Although quantum-safe…

Cryptography and Security · Computer Science 2026-01-07 Homer A. Riva-Cambrin , Rahul Singh , Sanju Lama , Garnette R. Sutherland

We describe a generalised method for ellipsoid fitting against a minimum set of data points. The proposed method is numerically stable and applies to a wide range of ellipsoidal shapes, including highly elongated and arbitrarily oriented…

Computer Vision and Pattern Recognition · Computer Science 2017-07-26 Amit Reza , Anand S. Sengupta

Adaptor signatures can be viewed as a generalized form of standard digital signature schemes by linking message authentication to the disclosure of a secret value. As a recent cryptographic primitive, they have become essential for…

Cryptography and Security · Computer Science 2025-04-15 Farzin Renan , Péter Kutas

The modular inverse is an essential piece of computation required for elliptic curve operations used for digital signatures in Bitcoin and other applications. A novel approach to the extended Euclidean algorithm has been developed by…

Cryptography and Security · Computer Science 2025-07-25 Russell O'Connor , Andrew Poelstra

This paper proposes a new signature scheme based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli, IFP) and the discrete logarithm problem(DLP). By combining…

Cryptography and Security · Computer Science 2012-09-24 Abdoul Aziz Ciss , Ahmed Youssef Ould Cheikh

Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

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…

Cryptography and Security · Computer Science 2023-07-20 Mahender Kumar

Biometrics security is a dynamic research area spurred by the need to protect personal traits from threats like theft, non-authorised distribution, reuse and so on. A widely investigated solution to such threats consists in processing the…

Cryptography and Security · Computer Science 2018-03-29 Giulia Droandi , Mauro Barni , Riccardo Lazzeretti , Tommaso Pignata

This paper proposes an algorithm for oblivious transfer using elliptic curves. Also, we present its application to chosen one-out-of-two oblivious transfer.

Cryptography and Security · Computer Science 2007-06-13 Abhishek Parakh

In this paper, we present a new formal method to analyze cryptographic protocols statically for the property of secrecy. It consists in inspecting the level of security of every component in the protocol and making sure that it does not…

Cryptography and Security · Computer Science 2018-01-12 Jaouhar Fattahi , Mohamed Mejri , Hanane Houmani

In 2001, Rivest et al. firstly introduced the concept of ring signatures. A ring signature is a simplified group signature without any manager. It protects the anonymity of a signer. The first scheme proposed by Rivest et al. was based on…

Cryptography and Security · Computer Science 2014-12-24 Amit K Awasthi , Sunder Lal

Secret sharing in user hierarchy represents a challenging area for research. Although a lot of work has already been done in this direc- tion, this paper presents a novel approach to share a secret among a hierarchy of users while…

Cryptography and Security · Computer Science 2010-07-15 Ruchira Naskar , Indranil Sengupta