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Constructions of 2-resilient rotation symmetric Boolean functions through symbol transformations of cyclic Hadamard matrix.
- Source :
-
Theoretical Computer Science . Jun2022, Vol. 919, p80-91. 12p. - Publication Year :
- 2022
-
Abstract
- In this paper, the properties of symbol transformations of cyclic Hadamard matrices are studied. An infinite class of (n − 1) -variable 2-resilient rotation symmetric Boolean functions are constructed, and the nonlinearity of the constructed functions is 2 n (n − 1). The crucial technique of this method is to determine a subset T ⊆ F 2 n − 1 satisfying a correspondent condition. This is a new construction of 2-resilient rotation symmetric Boolean functions via switching the supports of (n − 1) -variable rotation symmetric Boolean functions of degree one, i.e., f 0 n − 1 (x 1 , x 2 , ⋯ , x n − 1) = ⊕ i = 1 n − 1 x i , where n = 4 t. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03043975
- Volume :
- 919
- Database :
- Academic Search Index
- Journal :
- Theoretical Computer Science
- Publication Type :
- Academic Journal
- Accession number :
- 156713153
- Full Text :
- https://doi.org/10.1016/j.tcs.2022.03.033