We study the negabent Boolean functions which are symmetric. The Boolean function which has equal absolute spectral values under the nega-Hadamard transform is called a negabent function. For a bent function, the absolute spectral values are the same under the Hadamard-Walsh transform. Unlike bent functions, negabent functions can exist on odd number of variables. Moreover, all the affine functions are negabent. We prove that a symmetric Boolean function is negabent if and only if it is affine. © 2009 Springer-Verlag.
CITATION STYLE
Sarkar, S. (2009). On the symmetric negabent boolean functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5922 LNCS, pp. 136–143). https://doi.org/10.1007/978-3-642-10628-6_9
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