On the security of a new image encryption scheme based on chaotic map lattices

被引:109
作者
Arroyo, David [1 ]
Rhouma, Rhouma [2 ]
Alvarez, Gonzalo [1 ]
Li, Shujun [3 ]
Fernandez, Veronica [1 ]
机构
[1] CSIC, Inst Fis Aplicada, Madrid 28006, Spain
[2] Ecole Natl Ingn Tunis, Syscom Lab, Tunis 1002, Tunisia
[3] FernUniv Hagen, Lehrgebiet Informat Tech, D-58084 Hagen, Germany
关键词
D O I
10.1063/1.2959102
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper reports a detailed cryptanalysis of a recently proposed encryption scheme based on the logistic map [A. Pisarchik et al., Chaos 16, 033118 (2006)]. Some problems are emphasized concerning the key space definition and the implementation of the cryptosystem using floating-point operations. It is also shown how it is possible to reduce considerably the key space through a ciphertext-only attack. Moreover, a timing attack allows for the estimation of part of the key due to the existent relationship between this part of the key and the encryption/decryption time. As a result, the main features of the cryptosystem do not satisfy the demands of secure communications. Some hints are offered to improve the cryptosystem under study according to those requirements. (C) 2008 American Institute of Physics.
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页数:7
相关论文
共 15 条
[1]   New approach to chaotic encryption [J].
Alvarez, E ;
Fernández, A ;
García, P ;
Jiménez, J ;
Marcano, A .
PHYSICS LETTERS A, 1999, 263 (4-6) :373-375
[2]   Some basic cryptographic requirements for chaos-based cryptosystems [J].
Alvarez, Gonzalo ;
Li, Shujun .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (08) :2129-2151
[3]   Cryptography with chaos [J].
Baptista, MS .
PHYSICS LETTERS A, 1998, 240 (1-2) :50-54
[4]  
BRUMLEY D, 2005, SSYM 03 P 12 C USENI, P1
[5]   A symmetric image encryption scheme based on 3D chaotic cat maps [J].
Chen, GR ;
Mao, YB ;
Chui, CK .
CHAOS SOLITONS & FRACTALS, 2004, 21 (03) :749-761
[6]   Chaos-based image encryption algorithm [J].
Guan, ZH ;
Huang, FJ ;
Guan, WJ .
PHYSICS LETTERS A, 2005, 346 (1-3) :153-157
[7]  
Higham N.J., 1961, ACCURACY STABILITY N
[8]  
Kocher Paul, LECT NOTES COMPUTER, V1109, P104
[9]   A fast image encryption system based on chaotic maps with finite precision representation [J].
Kwok, H. S. ;
Tang, Wallace K. S. .
CHAOS SOLITONS & FRACTALS, 2007, 32 (04) :1518-1529
[10]   On the dynamical degradation of digital piecewise linear chaotic maps [J].
Li, SJ ;
Chen, GR ;
Mou, XQ .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (10) :3119-3151