A Fast Digital Chaotic Generator for Secure Communication

In this paper, we propose a digitalized chaotic map, Variational Logistic Map (VLM), modified from classical logistic map to be used in secure communication. Compared with classical logistic map, VLM has large parameter space without windows and can be implemented at low hardware cost. Referring to statistical testing suites SP800-22 and TestU01, VLM with the proposed scrambling method can significantly improve the output complexity as compared with other logisticmap based generators and piecewise linear chaotic map. Experiments show that the throughput of a 32-bit VLM is up to 3,200 Mbps in 0.18μm process. Furthermore, a chaotic crypto scheme, Multi-VLM (MVLM), constructed by four 32-bit VLMs can generate an output sequence with a minimal length equal to 2128 − 1 by a 128-bit external key. Department of Computer Science, National Tsing Hua University, Hsinchu 300, Taiwan. Email: [email protected] Department of Computer Science, National Tsing Hua University, Hsinchu 300, Taiwan. Email: [email protected] Department of Applied Mathematics, National Chiao Tung University, Hsinchu 300, Taiwan. Email: [email protected] Department of Applied Mathematics, National Chiao Tung University, and Division of Mathematics, National Center for Theoretical Science, National Tsing Hua University, Hsinchu 300, Taiwan. Email: [email protected]