This paper analyzes the mathematical foundations of the transfer of asymmetric cryptographic algorithms to elliptic curves and their applications. Asymmetric cryptography, such as RSA and Diffie-Hellman algorithms, have long been used in secure communication and data protection. However, due to the large key length and computational complexity, these systems become difficult to apply in resource-constrained environments. Elliptic curve cryptography (ECC) has emerged as an effective solution to these problems. ECC provides a high level of security in a small key length. The article describes in detail the mathematical basis of ECC algorithms, their security advantages and their practical application.
| Mualliflar | Saydullayev, Eldorjon, Rahmatullayev, Ilhom, Boyquziyev, Ilxom, Umurzakov, Oybek |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashr sanasi | 2024-10-20 |
| Son | 3 |
| Betlar | 101-108 |
| Til | Rus |
Asimmetrik kriptografiya, Elliptik egri chiziqlar, Diskret logarifm, El-Gamal shifrlash algoritmi, Xavfsizlik, Kalit uzunligi, Matematik murakkablik, Diffie-Hellman, ECC (Elliptik Egri Chiziqlar Kriptografiyasi), Asimmetrik kriptografiya, Elliptik egri chiziqlar, Diskret logarifm, El-Gamal shifrlash algoritmi, Xavfsizlik, Kalit uzunligi, Matematik murakkablik, Diffie-Hellman, ECC
в этой статье оценивается уникальность и коллизии алгоритмов хэш-функций, важное предприятие в современной криптографии. Алгоритмы хэширования используются для обеспечения целостности данных и аутентификации. Они…
A number of coding algorithms important for user authentication, data encryption and secure communication in GSM networks have been added. Among them, the A3, A5 and A8 algorithms play a decisive role. The A3 algorithm…
Abstract: The development of fifth-generation (5G) mobile networks requires the creation of compact, efficient and broadband antennas capable of operating at high frequencies, including millimeter waves (25-40 GHz)…
The article analyzes methods of hiding information using the capabilities of network protocols. Provides information on network steganography and how it is implemented over various channels, storage and time channels…
Abstract. This paper presents a new approach to stabilizing the parameters of two-color light-emitting diodes (LEDs). By investigating temperature effects, electrical characteristics, and control mechanisms, we propose…
This article proposes the application of the Intellectual Water Drops (IWD) algorithm to solve the problem of medical diagnosis. The purpose of the article is to test the use of IWD in medical diagnosis tasks and to…
Antenna reconfiguration technology using p-i-n diodes is an effective method for changing the dynamic characteristics of antennas in radio electronic and microwave systems. By controlling the electrical phase and…
This article explores methods for enhancing and recognizing blurred objects in low-quality images using Python. We delve into image processing techniques, machine learning algorithms, and deep learning models to restore…
This paper investigates the application of Radio Frequency Identification (RFID) technology in the chemical fertiliser manufacturing process. The authors propose the development of new methods for the application of…
This article explores real-time moving object detection from video streams using Python. We delve into various techniques and their implementation, providing a comprehensive guide for practitioners and researchers. By…