Abstract
In this paper, we propose to cryptanalyse an encryption algorithm which combines a DNA addition and a chaotic map to encrypt a gray scale image. Our contribution consists on, at first, demonstrating that the algorithm, as it is described, is non-invertible, which means that the receiver cannot decrypt the ciphered image even if he posses the secret key. Then, a chosen plaintext attack on the invertible encryption block is described, where, the attacker can illegally decrypt the ciphered image by a temporary access to the encryption machinery.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Adelman L, Rothemund P, Roweis S, Winfree E (1999) On applying molecular computation to the data encryption standard. J Comput Biol 6:53–63
Guglielmi V, Pinel P, Fournier-Prunaret D, Taha A-K (2009) Chaos-based cryptosystem on DSP. Chaos Solitons Fractals 4(42):2135–2144
Hermassi H, Rhouma R, Belghith S (2010) Joint compression and encryption using chaotically mutated Huffman trees. Commun Nonlinear Sci Numer Simul 15(10):2987–2999
Leier A, Richter C, Banzhaf W, Rauhe H (2000) Cryptography with DNA binary standards. Biosystems 57:13–22
Li C, Li S, Lo KT (2011) Breaking a modified substitution–diffusion image cipher based on chaotic standard and logistic maps. Commun Nonlinear Sci Numer Simul 16:837–843
Liu H, Wang X, Kadir A (2012) Image encryption using DNA complementary rule and chaotic maps. Appl Soft Comput 12(5):1457–1466
Liu L, Zhang Q, Wei X (2012) A RGB image encryption algorithm based on DNA encoding and chaos map. Comput Electr Eng 38(5):1240–1248
Mansuripur M, Khulbe P, Kuebler S, Perry J, Giridhar M, Peyghambarian N (2003) Information storage and retrieval using macromolecules as storage media. University of Arizona Technical Report
Patidar V, Pareek N, Sud K (2010) Modified substitution-diffusion image cipher using chaotic standard and logistic maps. Commun Nonlinear Sci Numer Simul 14:2755–2765
Rhouma R, Belghith S (2011) Cryptanalysis of a chaos-based cryptosystem on DSP. Commun Nonlinear Sci Numer Simul 2(16):876–884
Shannon C (1949) Communication theory of secrecy systems. Bell Syst Tech J 28:658–715
Tanaka K, Okamoto A, Saito I (2005) Public-key system using DNA as a one-way function for key distribution. Biosystems 81:25–29
Tang Z, Zhang X (2011) Secure image encryption without size limitation using arnold transform and random strategies. J Multimed 6(2):202–206
Wei X, Guo L, Zhang Q, Zhang J, Lian S (2012) A novel color image encryption algorithm based on DNA sequence operation and hyper-chaotic system. J Syst Softw 85(2):290–299
X952 A (1998) Triple data encryption algorithm modes of operation. Accredited Standards Committee X9, American National Standards Institute
Zhang Q, Guo L, Wei X (2010) Image encryption using DNA addition combining with chaotic maps. Math Comput Model 52(11–12):2028–2035
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hermassi, H., Belazi, A., Rhouma, R. et al. Security analysis of an image encryption algorithm based on a DNA addition combining with chaotic maps. Multimed Tools Appl 72, 2211–2224 (2014). https://doi.org/10.1007/s11042-013-1533-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-013-1533-6