IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i4p2405-2412.html
   My bibliography  Save this article

Hash function based on hierarchy of 2D piecewise nonlinear chaotic maps

Author

Listed:
  • Akhshani, A.
  • Behnia, S.
  • Akhavan, A.
  • Jafarizadeh, M.A.
  • Abu Hassan, H.
  • Hassan, Z.

Abstract

In this paper, at first a hierarchy of two-dimensional piecewise nonlinear chaotic map with an invariant measure is constructed. These maps have interesting features such as invariant measure, ergodicity and the possibility of KS-entropy calculation. Then by using significant properties of chaos such as one-way computation, and random-like behavior, which is favorable to hash functions, a novel hash function based on these chaotic maps, is suggested. The nonlinearity and complexity of 2D piecewise map yields strong bit confusion and diffusion with the low expense of floating point computations. Theoretical analysis and simulation results indicate that the proposed scheme has desired statistical properties, high flexibility and strong collision resistance. The scheme is efficient, practicable and reliable, with high potential to be adopted for network security and secure communications.

Suggested Citation

  • Akhshani, A. & Behnia, S. & Akhavan, A. & Jafarizadeh, M.A. & Abu Hassan, H. & Hassan, Z., 2009. "Hash function based on hierarchy of 2D piecewise nonlinear chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2405-2412.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2405-2412
    DOI: 10.1016/j.chaos.2009.03.153
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909002537
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.03.153?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yang, Huaqian & Wong, Kwok-Wo & Liao, Xiaofeng & Wang, Yong & Yang, Degang, 2009. "One-way hash function construction based on chaotic map network," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2566-2574.
    2. Xiao, Di & Liao, Xiaofeng & Wong, K.W., 2005. "An efficient entire chaos-based scheme for deniable authentication," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1327-1331.
    3. Khan, Muhammad Khurram & Zhang, Jiashu & Wang, Xiaomin, 2008. "Chaotic hash-based fingerprint biometric remote user authentication scheme on mobile devices," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 519-524.
    4. Xiao, Di & Liao, Xiaofeng & Deng, Shaojiang, 2005. "One-way Hash function construction based on the chaotic map with changeable-parameter," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 65-71.
    5. Han, S. & Chang, E., 2009. "Chaotic map based key agreement with/out clock synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1283-1289.
    6. Han, Song, 2008. "Security of a key agreement protocol based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 764-768.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Asgari Chenaghlu, Meysam & Jamali, Shahram & Nikzad Khasmakhi, Narjes, 2016. "A novel keyed parallel hashing scheme based on a new chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 216-225.
    2. Tutueva, Aleksandra V. & Karimov, Artur I. & Moysis, Lazaros & Volos, Christos & Butusov, Denis N., 2020. "Construction of one-way hash functions with increased key space using adaptive chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    3. Rasool, Masrat & Belhaouari, Samir Brahim, 2023. "From Collatz Conjecture to chaos and hash function," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    4. Li, Yantao & Li, Xiang, 2016. "Chaotic hash function based on circular shifts with variable parameters," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 639-648.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Khan, Muhammad Khurram & Zhang, Jiashu & Wang, Xiaomin, 2008. "Chaotic hash-based fingerprint biometric remote user authentication scheme on mobile devices," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 519-524.
    2. Han, S. & Chang, E. & Dillon, T. & Hwang, M. & Lee, C., 2009. "Identifying attributes and insecurity of a public-channel key exchange protocol using chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2569-2575.
    3. Yang, Huaqian & Wong, Kwok-Wo & Liao, Xiaofeng & Wang, Yong & Yang, Degang, 2009. "One-way hash function construction based on chaotic map network," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2566-2574.
    4. Rasool, Masrat & Belhaouari, Samir Brahim, 2023. "From Collatz Conjecture to chaos and hash function," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    5. Han, Song, 2008. "Security of a key agreement protocol based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 764-768.
    6. Amin, Mohamed & Faragallah, Osama S. & Abd El-Latif, Ahmed A., 2009. "Chaos-based hash function (CBHF) for cryptographic applications," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 767-772.
    7. Xiang, Tao & Wong, Kwok-Wo & Liao, Xiaofeng, 2009. "On the security of a novel key agreement protocol based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 672-675.
    8. Ren, Haijun & Wang, Yong & Xie, Qing & Yang, Huaqian, 2009. "A novel method for one-way hash function construction based on spatiotemporal chaos," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2014-2022.
    9. Gao, Tiegang & Gu, Qiaolun & Emmanuel, Sabu, 2009. "A novel image authentication scheme based on hyper-chaotic cell neural network," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 548-553.
    10. Akhavan, A. & Samsudin, A. & Akhshani, A., 2009. "Hash function based on piecewise nonlinear chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1046-1053.
    11. Behnia, S. & Akhshani, A. & Mahmodi, H. & Akhavan, A., 2008. "A novel algorithm for image encryption based on mixture of chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 408-419.
    12. Asgari Chenaghlu, Meysam & Jamali, Shahram & Nikzad Khasmakhi, Narjes, 2016. "A novel keyed parallel hashing scheme based on a new chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 216-225.
    13. Mohamed Amine Ferrag & Leandros Maglaras & Abdelouahid Derhab & Helge Janicke, 2020. "Authentication schemes for smart mobile devices: threat models, countermeasures, and open research issues," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 73(2), pages 317-348, February.
    14. Lei, Min & Meng, Guang & Feng, Zhengjin, 2006. "Security analysis of chaotic communication systems based on Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 264-270.
    15. Kanso, Ali & Smaoui, Nejib, 2009. "Logistic chaotic maps for binary numbers generations," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2557-2568.
    16. Tutueva, Aleksandra V. & Karimov, Artur I. & Moysis, Lazaros & Volos, Christos & Butusov, Denis N., 2020. "Construction of one-way hash functions with increased key space using adaptive chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    17. Han, S. & Chang, E., 2009. "Chaotic map based key agreement with/out clock synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1283-1289.
    18. Liu, Xilin & Tong, Xiaojun & Wang, Zhu & Zhang, Miao, 2022. "A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    19. Wu, Xin & Shi, Hang & Ji’e, Musha & Duan, Shukai & Wang, Lidan, 2023. "A novel image compression and encryption scheme based on conservative chaotic system and DNA method," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    20. Wang, Yu & Chen, Liquan & Wang, Xingyuan & Wu, Ge & Yu, Kunliang & Lu, Tianyu, 2021. "The design of keyed hash function based on CNN-MD structure," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2405-2412. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.