English

Generalized partially bent functions

Cryptography and Security 2007-05-23 v1

Abstract

Based on the definition of generalized partially bent functions, using the theory of linear transformation, the relationship among generalized partially bent functions over ring Z N, generalized bent functions over ring Z N and affine functions is discussed. When N is a prime number, it is proved that a generalized partially bent function can be decomposed as the addition of a generalized bent function and an affine function. The result obtained here generalizes the main works concerning partially bent functions by Claud Carlet in [1].

Keywords

Cite

@article{arxiv.cs/0512041,
  title  = {Generalized partially bent functions},
  author = {Jianqin Zhou},
  journal= {arXiv preprint arXiv:cs/0512041},
  year   = {2007}
}

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7 pages