Abstract:

Some of the properties of Nega-Hadamard transform are studied, such as, the relationship between the Nega-Hadamard transform and the nega-crosscorrelation is given. Also, the special Boolean function by concatenation is presented, and its nega-Hadamard transform is investigated. Based on it, the negabent functions in n+2 variables from two negabent functions in n variables is presented.

Key words: Boolean function; bent function; Nega-Hadamard transform; negabent function