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An algorithm is presented that in context of public key use of Elliptic Curve Cryptography allows discovery of the private key in worst case O(n).

Cryptography and Security · Computer Science 2009-12-24 Charles Sauerbier

The signcryption is a relatively new cryptographic technique that is supposed to fulfill the functionalities of encryption and digital signature in a single logical step. Several signcryption schemes are proposed throughout the years, each…

Cryptography and Security · Computer Science 2012-03-20 M. Toorani , A. A. Beheshti

Nodes of sensor networks may be resource-constrained devices, often having a limited lifetime, making sensor networks remarkably dynamic environments. Managing a cryptographic protocol on such setups may require a disproportionate effort…

Cryptography and Security · Computer Science 2020-06-15 Riccardo Aragona , Roberto Civino , Norberto Gavioli , Marco Pugliese

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

Elliptic curve cryptography (ECC) is a widely established cryptographic technique, recognized for its effectiveness and reliability across a broad range of applications such as securing telecommunications or safeguarding cryptocurrency…

Quantum Physics · Physics 2025-01-20 Diego Polimeni , Raphael Seidel

A new approach to discretization of the Duffing equation is presented. Integrable discrete maps are obtained by using well-studied encrypting operations in elliptic curve cryptography and, therefore, they do not depend upon standard small…

Exactly Solvable and Integrable Systems · Physics 2018-01-08 A. V. Tsiganov

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

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

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

Smart grid is a self-sufficient system. That tracks how the energy is used from its source to its final destination. The smart grid can increase the service quality while reducing the consumption of electricity. However, the safety and…

Cryptography and Security · Computer Science 2023-06-16 Shivali Meenakshi

With the advent of machine learning and quantum computing, the 21st century has gone from a place of relative algorithmic security, to one of speculative unease and possibly, cyber catastrophe. Modern algorithms like Elliptic Curve…

Cryptography and Security · Computer Science 2026-01-05 Lily Erickson

Elliptic Curve Cryptography (ECC) is an attractive alternative to conventional public key cryptography, such as RSA. ECC is an ideal candidate for implementation on constrained devices where the major computational resources i.e. speed,…

Cryptography and Security · Computer Science 2015-03-19 Ioannis Chatzigiannakis , Apostolos Pyrgelis , Paul G. Spirakis , Yannis C. Stamatiou

This paper presents a new probabilistic approach to embedding message text on an elliptic curve, by using the concept of the RSA Algorithm and its security, and such approach allows us discovering the message from the point, only according…

Cryptography and Security · Computer Science 2017-07-18 Ahmad Steef , M. N. Shamma , A. Alkhatib

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

The technique of hiding secret messages within seemingly harmless covertext to evade examination by censors with rigorous security proofs is known as provably secure steganography (PSS). PSS evolves from symmetric key steganography to…

Cryptography and Security · Computer Science 2025-04-29 Xin Zhang , Kejiang Chen , Na Zhao , Weiming Zhang , Nenghai Yu

The rapid development of computer technology will be the whole world as a whole, the widespread application of instant messaging technology to bring great convenience to people's lives, while privacy protection has become a more significant…

Cryptography and Security · Computer Science 2019-10-11 Weiqing You , Guozhen Shi , Xiaoming Chen , Jian Qi , Chuang Qing

Cryptographic algorithms are computationally costly and the challenge is more if we need to execute them in resource constrained embedded systems. Field Programmable Gate Arrays (FPGAs) having programmable logic de- vices and processing…

Hardware Architecture · Computer Science 2014-02-20 Sruti Agarwal , Sangeet Saha , Rourab Paul , Amlan Chakrabarti

In 2022, Persianom, Phan and Yung outlined the creation of Anamorphic Cryptography. With this, we can create a public key to encrypt data, and then have two secret keys. These secret keys are used to decrypt the cipher into different…

Cryptography and Security · Computer Science 2025-07-04 William J Buchanan , Jamie Gilchrist

Cryptography is the science of using mathematics to encrypt and decrypt data. Cryptography enables you to store sensitive information or transmit it across insecure networks so that it cannot be read by anyone except the intended recipient.…

Cryptography and Security · Computer Science 2011-10-10 Penmetsa V. Krishna Raja , A. S. N. Chakravarthy , P. S. Avadhani

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