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Singh, Deep; Chawla, Anjali; Bhogta, Pramod; Paul, Amit
International journal of mathematical, engineering and management sciences, 4/2024, Letnik: 9, Številka: 2Journal Article
In design of secure cryptosystems and CDMA communications, the negabent functions play a significant role. The generalized Boolean functions have been extensively studied by Schmidt and established several important results in this setup. In this paper, several characteristics of the generalized nega-Hadamard transform (GNT) of generalized Boolean functions like inverse of GNT, generalized nega-cross correlation, generalized nega-Parseval’s identity, relationship between GNT and generalized nega-cross correlation have analyzed. We studied the GNT for the derivative of this setup of functions and established the connection of generalized Walsh-Hadamard transform and GNT of derivatives of these functions. Also, the GNT of composition of vectorial Boolean function and generalized Boolean function is presented. Further, the generalized nega-convolution theorem for generalized Boolean function is obtained.
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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