New key-stream generation scheme based on Hénon chaotic system
来源期刊:中南大学学报(英文版)2013年第7期
论文作者:HUANG Fang-jun(黄方军) ZHAO Yu-qian(赵于前)
文章页码:1904 - 1908
Key words:chaotic system; key-stream; randomness; cycle length
Abstract: As known to all that Hénon chaotic system is not appropriate for generating the key-streams because it has non-uniformly distributed output signal, a new key-stream generation scheme based on Hénon chaotic system is presented. In order to get the key-streams with good statistics and long enough cycle length, a specific method for dividing the Hénon attractor into numerous non-overlapping sub-regions, and a new one-to-one mapping strategy between the divided sub-regions and elements of dynamically generated matrix consisting of 0’s and 1’s are proposed. Experimental results demonstrate that the generated key-streams are with long enough cycle length and very sensitive to the initial values and secret keys. For example, key-streams with the cycle length of 1032 can easily be obtained. Moreover, even if the fluctuation to the initial values or secret keys is as small as 10-14, uncorrelated key-streams will be generated. Experimental results also demonstrate that the generated key-streams have good randomness and they can pass all the standard criteria specified in FIPS PUB 140-2 with no less than 98%.
HUANG Fang-jun(黄方军)1, ZHAO Yu-qian(赵于前)2
(1. School of Information Science and Technology, Sun Yat-Sen University, Guangzhou 510006, China;
2. School of Geosciences and Info-Physics, Central South University, Changsha 410083, China)
Abstract:As known to all that Hénon chaotic system is not appropriate for generating the key-streams because it has non-uniformly distributed output signal, a new key-stream generation scheme based on Hénon chaotic system is presented. In order to get the key-streams with good statistics and long enough cycle length, a specific method for dividing the Hénon attractor into numerous non-overlapping sub-regions, and a new one-to-one mapping strategy between the divided sub-regions and elements of dynamically generated matrix consisting of 0’s and 1’s are proposed. Experimental results demonstrate that the generated key-streams are with long enough cycle length and very sensitive to the initial values and secret keys. For example, key-streams with the cycle length of 1032 can easily be obtained. Moreover, even if the fluctuation to the initial values or secret keys is as small as 10-14, uncorrelated key-streams will be generated. Experimental results also demonstrate that the generated key-streams have good randomness and they can pass all the standard criteria specified in FIPS PUB 140-2 with no less than 98%.
Key words:chaotic system; key-stream; randomness; cycle length