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Generalized partially bent functions

Jianqin Zhou
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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].

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Jianqin Zhou. 2005-12-10. Generalized partially bent functions. https://arxiv.org/abs/cs/0512041

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