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Volume 31 Issue 12
Dec.  2010
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Yuan Yan-bin, Zhao Ya-qun, Zheng Xing, Guo Wei. The Properties of Rotation Symmetric Functions over GF(p)[J]. Journal of Electronics & Information Technology, 2009, 31(12): 2901-2906. doi: 10.3724/SP.J.1146.2008.01498
Citation: Yuan Yan-bin, Zhao Ya-qun, Zheng Xing, Guo Wei. The Properties of Rotation Symmetric Functions over GF(p)[J]. Journal of Electronics & Information Technology, 2009, 31(12): 2901-2906. doi: 10.3724/SP.J.1146.2008.01498

The Properties of Rotation Symmetric Functions over GF(p)

doi: 10.3724/SP.J.1146.2008.01498
  • Received Date: 2008-11-14
  • Rev Recd Date: 2009-09-28
  • Publish Date: 2009-12-19
  • In this paper, the Chrestenson spectrum and the autocorrelation functions of Rotation Symmetric(RotS) functions are researched. The polynomials of RotS functions have special properties, by constructing matrixes, the relationship of the truth table, short algebric normal form and the chrestenson spectrum are established. By studying the matrixes, the sufficient and necessary conditions of the RotS functions to satisfying cryptographic properties of balancedness, correlation immunity and the stability are given.
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