- Tytuł:
- Image cipher applications using the elliptical curve and chaos
- Autorzy:
-
Silva-García, Víctor Manuel
Flores-Carapia, Rolando
Rentería-Márquez, Carlos
Luna-Benoso, Bejamín
Chimal-Eguía, Juan Carlos - Powiązania:
- https://bibliotekanauki.pl/articles/329867.pdf
- Data publikacji:
- 2020
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
elliptic curve
chaos
discrete Fourier transform
image ciphering
krzywa eliptyczna
dyskretna transformata Fouriera - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2020, 30, 2; 377-391
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł