A Self-Adaptive Parallel Encryption Algorithm Based on Discrete 2D-Logistic Map

Jing Wang, Guoping Jiang

College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China.
College of Computer, Nanjing University of Posts and Telecommunications, Nanjing, China.

DOI: 10.4236/ijmnta.2013.21A011                

Abstract

A self-adaptive parallel encryption algorithm based on discrete 2D-Logistic map is developed according to the position scrambling and diffusion of multi-direction in variable space of spatial chaos. The binary sequences b₁b₂b₃···b_n are obtained according to the user key, in which the binary sequence 0 and 1 denote distribution mode of processors and the number of binary sequence n denotes cycle number. Then the pseudorandom 2D matrix is generated by 2D-Logistic map, and adaptive segmentation is applied in image matrix and pseudorandom matrix according to the value and the number of binary sequence. The parallel operation is used among blocks to improve efficiency and meet real-time demand in transmission processes. However, the pixel permutation is applied in partitioned matrix through ergodic matrix generated by pseudo-random matrix-block to decrease the correlation of adjacent pixels. Then the pixel substitution is used for fully diffusing through cipher block chaining mode until n cycles. The proposed algorithm can meet the three requirements of parallel operation in image encryption and the real-time requirement in transmission processes. The security is proved by theoretical analysis and simulation results.

Keywords

2D-Logistic Map; Pseudo-Random Matrix; Theoretical Analysis; Simulation Results

Conflicts of Interest

The authors declare no conflicts of interest.

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