TY - JOUR
T1 - Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic Curves
AU - Al-Khedhairi, Abdulrahman
AU - Elsonbaty, Amr
AU - Elsadany, Abdelalim A.
AU - Hagras, Esam A.A.
N1 - Publisher Copyright:
© 2013 IEEE.
PY - 2020
Y1 - 2020
N2 - Securing transmission of information between legitimate transmitter and receiver sides is a great challenge for mathematicians, computer scientists and engineers in recent years. This paper aims at achieving three goals. The first of them is to introduce a novel fractional order two dimensional (2D) map having very complex chaotic behavior and distinct large positive values of Lyapunov exponents over wide range of parameters, compared with other 2D maps in literature. Secondly, a new reliable secure encryption scheme combining the associated chaotic pseudo-orbits of the proposed map with the advantages of elliptic curves in public key cryptography is suggested, for first time, and applied to colored images. The hybrid scheme is capable to confirm reliable secret keys exchange in addition to highly obscure and hide transmitted information messages. Finally, a thorough mathematical analysis of security performance and evaluation of encryption scheme immunity against all possible attacks are carried out and proved its efficiency and robustness.
AB - Securing transmission of information between legitimate transmitter and receiver sides is a great challenge for mathematicians, computer scientists and engineers in recent years. This paper aims at achieving three goals. The first of them is to introduce a novel fractional order two dimensional (2D) map having very complex chaotic behavior and distinct large positive values of Lyapunov exponents over wide range of parameters, compared with other 2D maps in literature. Secondly, a new reliable secure encryption scheme combining the associated chaotic pseudo-orbits of the proposed map with the advantages of elliptic curves in public key cryptography is suggested, for first time, and applied to colored images. The hybrid scheme is capable to confirm reliable secret keys exchange in addition to highly obscure and hide transmitted information messages. Finally, a thorough mathematical analysis of security performance and evaluation of encryption scheme immunity against all possible attacks are carried out and proved its efficiency and robustness.
KW - Chaos-based cryptography
KW - chaotic maps
KW - discrete fractional calculus
KW - elliptic curves
KW - pseudo-orbits
UR - http://www.scopus.com/inward/record.url?scp=85082964107&partnerID=8YFLogxK
U2 - 10.1109/ACCESS.2020.2982567
DO - 10.1109/ACCESS.2020.2982567
M3 - Article
AN - SCOPUS:85082964107
SN - 2169-3536
VL - 8
SP - 57733
EP - 57748
JO - IEEE Access
JF - IEEE Access
M1 - 9044191
ER -