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八維廣義同步系統(tǒng)在偽隨機數(shù)發(fā)生器中的應(yīng)用

韓丹丹 閔樂泉 趙耿

韓丹丹, 閔樂泉, 趙耿. 八維廣義同步系統(tǒng)在偽隨機數(shù)發(fā)生器中的應(yīng)用[J]. 電子與信息學(xué)報, 2016, 38(5): 1158-1165. doi: 10.11999/JEIT150899
引用本文: 韓丹丹, 閔樂泉, 趙耿. 八維廣義同步系統(tǒng)在偽隨機數(shù)發(fā)生器中的應(yīng)用[J]. 電子與信息學(xué)報, 2016, 38(5): 1158-1165. doi: 10.11999/JEIT150899
HAN Dandan, MIN Lequan, ZHAO Geng. Application of 8-dimensional Generalized Synchronization System in Pseudorandom Number Generator[J]. Journal of Electronics & Information Technology, 2016, 38(5): 1158-1165. doi: 10.11999/JEIT150899
Citation: HAN Dandan, MIN Lequan, ZHAO Geng. Application of 8-dimensional Generalized Synchronization System in Pseudorandom Number Generator[J]. Journal of Electronics & Information Technology, 2016, 38(5): 1158-1165. doi: 10.11999/JEIT150899

八維廣義同步系統(tǒng)在偽隨機數(shù)發(fā)生器中的應(yīng)用

doi: 10.11999/JEIT150899
基金項目: 

國家自然科學(xué)基金(61074192, 61170037)

Application of 8-dimensional Generalized Synchronization System in Pseudorandom Number Generator

Funds: 

The National Natural Science Foundation of China (61074192, 61170037)

  • 摘要: 該文提出一類4維離散系統(tǒng)。利用系統(tǒng)平衡點處 Jacobi 矩陣的特征值來分析系統(tǒng)在平衡點處的穩(wěn)定性,建立了一個判別這類系統(tǒng)為周期或混沌的定理。依據(jù)該定理構(gòu)造了一個新的4維離散系統(tǒng)。該系統(tǒng)具有正的Lyapunov指數(shù),數(shù)值模擬顯示該系統(tǒng)的動力學(xué)行為具有混沌特性。結(jié)合該系統(tǒng)和系統(tǒng)廣義同步定理構(gòu)造了一個8維廣義同步混沌系統(tǒng)。利用該系統(tǒng)構(gòu)造了一個16 bit混沌偽隨機數(shù)發(fā)生器 (CPRNG),其密鑰空間大于21245。利用FIPS 140-2 檢測/廣義FIPS 140-2檢測判別標(biāo)準(zhǔn)分別檢測由CPRNG, Narendra RBG, RC4 PRNG和ZUC PRNG生成的1000個長度為20000 bit的密鑰流的隨機性。檢測結(jié)果表明,分別有100%/99%, 100%/82.9%, 99.9%/ 98.8%和100%/97.9%密鑰流通過FIPS 140-2檢測/廣義FIPS 140-2 檢測標(biāo)準(zhǔn)。數(shù)值仿真顯示不同密鑰流之間有平均50.004%不同碼。結(jié)果說明設(shè)計的偽隨機數(shù)發(fā)生器有好的隨機性,可以抵抗窮盡攻擊。該文提出的CPRNG為密碼安全的研究與發(fā)展提供了新的工具。
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出版歷程
  • 收稿日期:  2015-07-30
  • 修回日期:  2015-12-18
  • 刊出日期:  2016-05-19

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