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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

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

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

Multiplication is one of the most important operation in Elliptic Curve Cryptography (ECC) arithmetic. For point addition and point doubling in ECC scalar (integer) multiplication is required. In higher order classical (standard)…

Cryptography and Security · Computer Science 2023-11-21 Prokash Barman , Banani Saha

Quantum error correction (QEC) for fault-tolerant quantum computing requires a balanced decoding solution that offers high performance, low complexity, and low latency. However, the de facto standard, belief propagation (BP) combined with…

Quantum Physics · Physics 2026-05-04 Hee-Youl Kwak , Seong-Joon Park , Hyunwoo Jung , Jeongseok Ha , Jae-Won Kim

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

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

The current blockchain system for cryptocurrency exchanges primarily employs elliptic curve cryptography (ECC) for generating key pairs in wallets, and elliptic curve digital signature algorithms (ECDSA) for generating signatures in…

Cryptography and Security · Computer Science 2025-09-16 Abel C. H. Chen

In this paper, we evaluate the different fully homomorphic encryption schemes, propose an implementation, and numerically analyze the applicability of gradient descent algorithms to solve quadratic programming in a homomorphic encryption…

Cryptography and Security · Computer Science 2023-09-06 André Bertolace , Konstantinos Gatsis , Kostas Margellos

For avoiding the exposure of plaintexts in cloud environments, some homomorphic hashing algorithms have been proposed to generate the hash value of each plaintext, and cloud environments only store the hash values and calculate the hash…

Cryptography and Security · Computer Science 2024-02-05 Abel C. H. Chen

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

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

Privacy Preserving Data Mining is a method which ensures privacy of individual information during mining. Most important task involves retrieving information from multiple data bases which is distributed. The data once in the data warehouse…

Databases · Computer Science 2012-04-13 P. Kiran , S Sathish Kumar , N. P. Kavya

Differential Evolution (DE) is recognized as one of the most powerful optimizers in the evolutionary algorithm (EA) family. Many DE variants were proposed in recent years, but significant differences in performances between them are hardly…

Neural and Evolutionary Computing · Computer Science 2019-01-08 Sheng Xin Zhang , Li Ming Zheng , Kit Sang Tang , Shao Yong Zheng , Wing Shing Chan

Differential evolution (DE) is an effective population-based metaheuristic algorithm for solving complex optimisation problems. However, the performance of DE is sensitive to the mutation operator. In this paper, we propose a novel DE…

Neural and Evolutionary Computing · Computer Science 2021-09-21 Seyed Jalaleddin Mousavirad , Gerald Schaefer , Iakov Korovin , Mahshid Helali Moghadam , Mehrdad Saadatmand , Mahdi Pedram

As a cornerstone in the Evolutionary Computation (EC) domain, Differential Evolution (DE) is known for its simplicity and effectiveness in handling challenging black-box optimization problems. While the advantages of DE are well-recognized,…

Neural and Evolutionary Computing · Computer Science 2025-03-27 Minyang Chen , Chenchen Feng , and Ran Cheng

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 SECP256K1 elliptic curve algorithm is fundamental in cryptocurrency wallets for generating secure public keys from private keys, thereby ensuring the protection and ownership of blockchain-based digital assets. However, the literature…

Cryptography and Security · Computer Science 2024-11-07 Joel Poncha Lemayian , Ghyslain Gagnon , Kaiwen Zhang , Pascal Giard

Public-key cryptography algorithms, especially elliptic curve cryptography (ECC) and elliptic curve digital signature algorithm (ECDSA) have been attracting attention from many researchers in different institutions because these algorithms…

Cryptography and Security · Computer Science 2019-02-28 Mishall Al-Zubaidie , Zhongwei Zhang , Ji Zhang

Elliptic curve cryptography is better than traditional cryptography based on RSA and discrete logarithm of finite field in terms of efficiency and security. In this paper, we show how to exploit elliptic curve with high rank, which has not…

Cryptography and Security · Computer Science 2025-09-08 Xiaogang Cheng , Ren Guo , Zuxi Chen