Advanced Search
Volume 40 Issue 10
Sep.  2018
Turn off MathJax
Article Contents
Tianfeng SUN, Bin HU, Yang YANG. Research on the Construction of Plateaued Functions[J]. Journal of Electronics & Information Technology, 2018, 40(10): 2352-2357. doi: 10.11999/JEIT170965
Citation: Tianfeng SUN, Bin HU, Yang YANG. Research on the Construction of Plateaued Functions[J]. Journal of Electronics & Information Technology, 2018, 40(10): 2352-2357. doi: 10.11999/JEIT170965

Research on the Construction of Plateaued Functions

doi: 10.11999/JEIT170965
Funds:  The National Natural Science Foundation of China (61502532)
  • Received Date: 2017-10-19
  • Rev Recd Date: 2018-06-27
  • Available Online: 2018-07-30
  • Publish Date: 2018-10-01
  • Plateaued functions play a significant role in cryptography, coding theory and so on. In this paper, a new primary construction of plateaued function is given. Some cryptographic properties of the constructed plateaued functions are studied. It is shown that the existing primary constructions of plateaued function can be reduced to the proposed construction.
  • loading
  • SARKAR P and MAITRA S. Nonlinearity bounds and constructions of resilient Boolean functions[C]. International Cryptology Conference, California, USA, 2000: 515–532. doi: 10.1007/3-540-44598-6_32.
    ZHENG Y L and ZHANG X M. On plateaued functions[J]. IEEE Transactions on Information Theory, 2001, 47(3): 1215–1223 doi: 10.1109/18.915690
    Rothaus O S. On bent functions[J]. Journal of Combinatorial Theory, 1976, 20(3): 300–305 doi: 10.1016/0097-3165(76)90024-8
    CARLET C. Partially bent functions[J]. Designs, Codes and Cryptography, 1993, 3(2): 135–145 doi: 10.1007/BF01388412
    DILLON J F. Elementary Hadamard difference sets[D]. [Ph.D. dissertation], University of Maryland, 1974. doi: 10.13016/M2MS3K194.
    MCFARLAND R L. A family of difference sets in noncyclic groups[J]. Journal of Combinatorial Theory, 1973, 15(1): 1–10 doi: 10.1016/0097-3165(73)90031-9
    CAMION P, CARLET C, CHARPIN P, et al. On Correlation immune functions[C]. International Cryptology Conference, California, USA, 1991: 68–100. doi: 10.1007/3-540-46766-1_6.
    CARLET C. A larger Class of Cryptographic Boolean functions via a study of the Marorana-McFarland Construction[C]. International Cryptology Conference, California, USA, 2002: 68–100. doi: 10.1007/3-540-45708-9_35.
    CARLET C and PROUFF E. On plateaued functions and their construction[C]. Fast Software Encryption, Lund, Sweden, 2003: 54–73. doi: 10.1007/978-3-540-39887-5_6.
    ZHENG Y L and ZHANG X M. Plateaued functions[C]. International Conference on Information and Communications Security, Berlin, Heidelberg, 1999: 284–300. doi: 10.1007/978-3-540-47942-0_24.
    ZHANG F R, CARLET C, HU Y P, et al. Secondary constructions of highly nonlinear Boolean functions and disjoint spectra plateaued functions[J]. Information Sciences, 2014, 283: 94–106 doi: 10.1016/j.ins.2014.06.024
    CUSICK T W. Highly nonlinear plateaued functions[J]. IET Information Security, 2017, 11(2): 78–81 doi: 10.1049/iet-ifs.2016.0131
    ZHANG F R, CARLET C, HU Y P, et al. New secondary constructions of bent functions[J]. Applicable Algebra in Engineering, Communication and Computing, 2016, 27(5): 413–434 doi: 10.1007/s00200-016-0287-6
    HYUN J Y, LEE J, and LEE Y. Explicit criteria for construction of plateaued functions[J]. IEEE Transactions on Information Theory, 2016, 62(12): 7555–7565 doi: 10.1109/TIT.2016.2582217
    MESNAGER S, TANG C M, and QI Y F. Generalized plateaued functions and admissible (plateaued) functions[J]. IEEE Transactions on Information Theory, 2017, 63(10): 6139–6148 doi: 10.1109/TIT.2017.2715804
    OLMEZ O. Plateaued functions and one-half difference sets[J]. Designs, Codes and Cryptography, 2015, 76(3): 537–549 doi: 10.1007/s10623-014-9975-z
    CANTEAUT A, CHARPIN P, and KYUREGHYAN G M. A new class of monomial bent functions[J]. Finite Fields and Their Applications, 2008, 14(1): 221–241 doi: 10.1016/j.ffa.2007.02.004
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Tables(1)

    Article Metrics

    Article views (6018) PDF downloads(188) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return