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JIANG, Niu; ZHAO, Min; YANG, Zhiyao; ZHUO, Zepeng; CHEN, Guolong
Chinese Journal of Electronics, July 2022, 2022-07-00, Letnik: 31, Številka: 4Journal Article
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.
