期刊
CHINESE JOURNAL OF ELECTRONICS
卷 31, 期 4, 页码 786-792出版社
WILEY
DOI: 10.1049/cje.2021.00.417
关键词
Boolean function; Bent-negabent function; Walsh-Hadamard transform; Nega-Hadamard transform
资金
- Graduate Scientific Research Project of Anhui University [YJS20210464]
- Key Research and Development Projects in Anhui Province [202004a05020043]
- Natural Science Foundation of Anhui Higher Education Institutions of China [KJ2020ZD008]
- Graduate Innovation Fund of Huaibei Normal University [yc2021022]
This paper presents a further characterization of bent-negabent functions, providing a necessary and sufficient condition for a class of quadratic Boolean functions to be bent-negabent based on complete mapping polynomial concept. A new characterization of negabent functions is described using the parity of Hamming weight. The paper also extends the classical convolution theorem and calculates the nega-Hadamard transform of the composition of a Boolean function and a vectorial Boolean function.
A further characterization of the bent-negabent functions is presented. Based on the concept of complete mapping polynomial, we provide a necessary and sufficient condition for a class of quadratic Boolean functions to be bent-negabent. A new characterization of negabent functions can be described by using the parity of Hamming weight. We further generalize the classical convolution theorem and give the nega-Hadamard transform of the composition of a Boolean function and a vectorial Boolean function. The nega-Hadamard transform of a generalized indirect sum is calculated by this composition method.
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