On the number of relevant variables for discrete functions

October 29, 2024 ยท The Ethereal ยท ๐Ÿ› Cryptography and Communications

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors V. N. Potapov arXiv ID 2410.21937 Category math.CO: Combinatorics Cross-listed cs.IT Citations 0 Venue Cryptography and Communications Last Checked 1 month ago
Abstract
We consider various definitions of degrees of discrete functions and establish relations between the number of relevant (essential) variables and degrees of two- and three-valued functions. Keywords: relevant variable, sensitivity, degree of Boolean function.
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