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Three decades ago, Montgomery introduced a new elliptic curve model for use in Lenstra's ECM factorization algorithm. Since then, his curves and the algorithms associated with them have become foundational in the implementation of elliptic…

Cryptography and Security · Computer Science 2017-03-07 Craig Costello , Benjamin Smith

In this paper, we have proposed a modified cryptographic scheme based on the application of recursive matrices as key in ECC and ElGamal. For encryption, we consider mapping analogous to affine Hill cipher in which a plaintext matrix has…

Cryptography and Security · Computer Science 2021-12-22 Munesh Kumari , Jagmohan Tanti

Elliptic curve cryptography (ECC) is widely used in security applications such as public key cryptography (PKC) and zero-knowledge proofs (ZKP). ECC is composed of modular arithmetic, where modular multiplication takes most of the…

Hardware Architecture · Computer Science 2024-02-23 Jonathan Ku , Junyao Zhang , Haoxuan Shan , Saichand Samudrala , Jiawen Wu , Qilin Zheng , Ziru Li , JV Rajendran , Yiran Chen

The National Institute of Standards and Technology (NIST) has finalized the selection of post-quantum cryptographic (PQC) algorithms for use in the era of quantum computing. Despite their integration into TLS protocol for key establishment…

Cryptography and Security · Computer Science 2024-09-10 Ben Dong , Qian Wang

In recent years, neural networks have been used to implement symmetric cryptographic functions for secure communications. Extending this domain, the proposed approach explores the application of asymmetric cryptography within a neural…

Cryptography and Security · Computer Science 2024-07-15 Mina Cecilie Wøien , Ferhat Ozgur Catak , Murat Kuzlu , Umit Cali

Correlations of the type discussed by EPR in their original 1935 paradox for continuous variables exist for the quadrature phase amplitudes of two spatially separated fields. These correlations were experimentally reported in 1992. We…

Quantum Physics · Physics 2009-10-31 M. D. Reid

In recent years, there have been many studies on quantum computing and the construction of quantum computers which are capable of breaking conventional number theory-based public key cryptosystems. Therefore, in the not-too-distant future,…

Cryptography and Security · Computer Science 2022-12-29 Reza Hooshmand , Farhad Naserizadeh , Jalil Mazloum

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

The Elliptic Curve Integrated Encryption Scheme (ECIES) is widely regarded as a practical method and has been adopted by multiple standards. However, the advancement of quantum computing technologies poses potential security risks to ECIES.…

Cryptography and Security · Computer Science 2026-05-12 Abel C. H. Chen

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

Quantum cryptography with the predetermined key was experimentally realized using Einstein-Podolsky-Rosen(EPR) correlations of continuously bright optical beams. Only one of two EPR correlated beams is transmitted with the signals modulated…

Quantum Physics · Physics 2007-05-23 Jietai Jing , Qing Pan , Changde Xie , Kunchi Peng

This paper proposed the application of post-encryption-compression (PEC) to strengthen the secrecy in the case of distributed encryption where the encryption keys are correlated to each other. We derive the universal code construction for…

Information Theory · Computer Science 2018-01-17 Bagus Santoso , Yasutada Oohama

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

In recent years, edge computing (EC) has attracted great attention for its high-speed computing and low-latency characteristics. However, there are many challenges in the implementation of EC. Firstly, user's privacy has been raised as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-20 Jiqing Chang , Jin Wang , Kejie Lu , Lingzhi Li , Fei Gu , Jianping Wang

We believe that there is no real data protection without our own tools. Therefore, our permanent aim is to have more of our own codes. In order to achieve that, it is necessary that a lot of young researchers become interested in…

Cryptography and Security · Computer Science 2013-04-17 Dragan Vidakovic , Olivera Nikolic , Dusko Parezanovic , Jelena Kaljevic

Most cryptocurrency systems or systems based on blockchain technology are currently using the elliptic curves digital signature algorithm (ECDSA) on the secp256k1 curve, which is susceptible to backdoors implemented by the curve creator…

Cryptography and Security · Computer Science 2018-08-10 Wei Bi , Xiaoyun Jia , Maolin Zheng

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

Polar codes are novel and efficient error correcting codes with low encoding and decoding complexities. These codes have a channel dependent generator matrix which is determined by the code dimension, code length and transmission channel…

Cryptography and Security · Computer Science 2017-12-22 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref

Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions…

Cryptography and Security · Computer Science 2019-04-23 P. Hecht

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