Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Image cipher applications using the elliptical curve and chaos
Creator:
Silva-García, Victor Manuel ; Flores-Carapia, Rolando ; Rentería-Márquez, Carlos ; Luna-Benoso, Bejamín ; Chimal-Eguía, Juan Carlos
Date:
Resource Type:
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
A novel symmetric cryptosystem of the substitution permutation network type is presented for image encryption in 14 rounds. An algorithm is developed to generate 15 keys to encrypt images where each key is the image size. These keys are calculated using an elliptic curve with a constant zero value. The proposed curve is non-singular, non-supersingular, nor trace one. ; Chaos is employed to find a generating element in a cyclic subgroup and it is produced using the logistic map equation. In addition, a 16×16 substitution box is constructed using both chaos and an algorithm that defines a bijective function. The following tools are used in order to measure the degree of randomness of the encrypted figures: entropy, correlation, the discrete Fourier transform and a goodness-of-fit test with the chi-square distribution. Furthermore, an image size variable permutation is applied in the first round, and its inverse in the fourteenth.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 30, number 2 (2020) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2020)
Last modified:
Jul 16, 2025
In our library since:
Jul 16, 2025
Number of object content hits:
8
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/101172
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 1 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 2 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 3 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 4 (2020)
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| Edition name | Date |
|---|---|
| Image cipher applications using the elliptical curve and chaos | Jul 16, 2025 |
Objects Similar
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Ali Khan, Mohammad Jurczak, Paweł - red.
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Bania, Piotr Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Margielewicz, Jerzy Wojnarowski, Józef Zawiślak, Stanisław Jurczak, Paweł - red.
Kabziński, Jacek Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Bashkirtseva, Irina Ryashko, Lev Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
