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The chaotic hash function based on spatial expansion construction with controllable parameters

Liao Dong Wang Xiao-Min Zhang Jia-Shu Zhang Wen-Fang

The chaotic hash function based on spatial expansion construction with controllable parameters

Liao Dong, Wang Xiao-Min, Zhang Jia-Shu, Zhang Wen-Fang
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  • A novel chaotic one-way hash function based on spatial expansion construction with controllable parameter is presented which combines with the advantages of both chaotic system and parallel hash function. In the proposed approach, the hash model of message block is determined by chaotic dynamic parameter. The new method improves the security of hash function and avoids degrading the system performance at the same time. Theoretical and experimental results show that the proposed method has high performance in parallel algorithm, nearly uniform distribution and desired diffusion and confusion properties.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 60903202, 61003245), the Ph. D. Programs Foundation of Ministry of Education of China (Grant No. 20090184120024), the Foundation for Young Scientists of Sichuan Province of China (Grant No. 2011JQ0027), and the Fundamental Research Funds for the Central Universities of Ministry of Education, of China (Grant No. SWJTU11CX041).
    [1]

    Wang X Y, Feng D G, Lai X J, Yu H B 2004 In Rump Session of Crypto'04 and IARC E-print Archive, Intertaken, Switzerland Auguest 17, 2004 p199

    [2]

    Wang X Y, Yu H B 2005 Proceedings of Advances in Cryptology- Eurocrypt'05 Springer-Verlag, Aartheis, Denmarh May, 2005 p19

    [3]

    Guo W, Cao Y, Wang X M, He D K 2008 Journal on Communications 29 93 (in Chinese) [郭伟, 曹杨, 王小敏, 何大可2008 通信学报 29 93]

    [4]

    Liu G J, Shan L, Dai Y W, Sun J S, Wang Z Q 2006 Acta Phys. Sin. 55 5688 (in Chinese) [刘光杰, 单梁, 戴跃伟, 孙金生, 王执铨 2006 物理学报 55 5688]

    [5]

    Wang X M, Zhang J S, Zhang W F 2005 Acta Phys. Sin. 54 5566 (in Chinese) [王小敏, 张家树, 张文芳 2005 物理学报 54 5566]

    [6]

    Wang X M, Zhang J S, Zhang W F 2003 Acta Phys. Sin. 52 2736 (in Chinese) [王小敏, 张家树, 张文芳2003 物理学报 52 2736]

    [7]

    Xiao D, Liao X F, Deng S J 2008 Phys. Lett. A 372 4682

    [8]

    Xiao D, Liao X F, Wang Y 2009 Neurocomputing 72 2288

    [9]

    Guo W, Wang X M, He D K, Cao Y 2009 Phys. Lett. A 373 3201

    [10]

    Li P, Li Z, Halang W A, Chen G R 2007 Chaos, Solitons and Fractals 32 1867

    [11]

    Yi X 2005 IEEE Trans. on Circuits and Systems II 52 354

    [12]

    Chen G R, Mao Y B, Chui C K 2004 Chaos, Solitons and Fractals 21 749

    [13]

    Wang S H, Hu G 2012 Information Sciences 195 266

    [14]

    Zhu M F, Zhang B D, Lü S W 2002 Journal on Communications 23 122 (in Chinese) [朱明富, 张宝东, 吕述望 2002 通信学报 23 122]

    [15]

    Zhang J S, Wang X M, Zhang W F 2007 Phys. Lett. A 362 439

  • [1]

    Wang X Y, Feng D G, Lai X J, Yu H B 2004 In Rump Session of Crypto'04 and IARC E-print Archive, Intertaken, Switzerland Auguest 17, 2004 p199

    [2]

    Wang X Y, Yu H B 2005 Proceedings of Advances in Cryptology- Eurocrypt'05 Springer-Verlag, Aartheis, Denmarh May, 2005 p19

    [3]

    Guo W, Cao Y, Wang X M, He D K 2008 Journal on Communications 29 93 (in Chinese) [郭伟, 曹杨, 王小敏, 何大可2008 通信学报 29 93]

    [4]

    Liu G J, Shan L, Dai Y W, Sun J S, Wang Z Q 2006 Acta Phys. Sin. 55 5688 (in Chinese) [刘光杰, 单梁, 戴跃伟, 孙金生, 王执铨 2006 物理学报 55 5688]

    [5]

    Wang X M, Zhang J S, Zhang W F 2005 Acta Phys. Sin. 54 5566 (in Chinese) [王小敏, 张家树, 张文芳 2005 物理学报 54 5566]

    [6]

    Wang X M, Zhang J S, Zhang W F 2003 Acta Phys. Sin. 52 2736 (in Chinese) [王小敏, 张家树, 张文芳2003 物理学报 52 2736]

    [7]

    Xiao D, Liao X F, Deng S J 2008 Phys. Lett. A 372 4682

    [8]

    Xiao D, Liao X F, Wang Y 2009 Neurocomputing 72 2288

    [9]

    Guo W, Wang X M, He D K, Cao Y 2009 Phys. Lett. A 373 3201

    [10]

    Li P, Li Z, Halang W A, Chen G R 2007 Chaos, Solitons and Fractals 32 1867

    [11]

    Yi X 2005 IEEE Trans. on Circuits and Systems II 52 354

    [12]

    Chen G R, Mao Y B, Chui C K 2004 Chaos, Solitons and Fractals 21 749

    [13]

    Wang S H, Hu G 2012 Information Sciences 195 266

    [14]

    Zhu M F, Zhang B D, Lü S W 2002 Journal on Communications 23 122 (in Chinese) [朱明富, 张宝东, 吕述望 2002 通信学报 23 122]

    [15]

    Zhang J S, Wang X M, Zhang W F 2007 Phys. Lett. A 362 439

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  • Received Date:  26 April 2012
  • Accepted Date:  13 June 2012
  • Published Online:  05 December 2012

The chaotic hash function based on spatial expansion construction with controllable parameters

  • 1. Key Laboratory of Signal and Information Processing of Sichuan Province, Southwest Jiaotong University, Chengdu 610031, China;
  • 2. Institute of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 60903202, 61003245), the Ph. D. Programs Foundation of Ministry of Education of China (Grant No. 20090184120024), the Foundation for Young Scientists of Sichuan Province of China (Grant No. 2011JQ0027), and the Fundamental Research Funds for the Central Universities of Ministry of Education, of China (Grant No. SWJTU11CX041).

Abstract: A novel chaotic one-way hash function based on spatial expansion construction with controllable parameter is presented which combines with the advantages of both chaotic system and parallel hash function. In the proposed approach, the hash model of message block is determined by chaotic dynamic parameter. The new method improves the security of hash function and avoids degrading the system performance at the same time. Theoretical and experimental results show that the proposed method has high performance in parallel algorithm, nearly uniform distribution and desired diffusion and confusion properties.

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