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- Title
A Characterization of Generalized Boolean Functions Employed in CDMA Communications.
- Authors
Singh, Deep; Chawla, Anjali; Bhogta, Pramod; Paul, Amit
- Abstract
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.
- Subjects
BOOLEAN functions; INVERSE functions; CRYPTOSYSTEMS
- Publication
International Journal of Mathematical, Engineering & Management Sciences, 2024, Vol 9, Issue 2, p352
- ISSN
2455-7749
- Publication type
Article
- DOI
10.33889/IJMEMS.2024.9.2.019