Generalized partially bent functions
<|reference_start|>Generalized partially bent functions: 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].<|reference_end|>
@article{zhou2005generalized,
    title={Generalized partially bent functions},
    author={Jianqin Zhou},
    journal={arXiv preprint arXiv:cs/0512041},
    year={2005},
    archivePrefix={arXiv},
    eprint={cs/0512041},
    primaryClass={cs.CR}
}