Publication Type : Journal Article
Publisher : International Journal of Pure and Applied Mathematics
Source : International Journal of Pure and Applied Mathematics
Url : https://acadpubl.eu/hub/2018-119-15/2/341.pdf
Campus : Coimbatore
Center : TIFAC CORE in Cyber Security
Department : TIFAC-CORE in Cyber Security
Year : 2018
Abstract : Cryptographic applications require Boolean functions for introducing nonlinearity in the cryptosystem. A Boolean function is said to be dihedral symmetric Boolean function if it is invariant under the action of permutations of dihedral group of members to its input variables. In this paper we enumerate the homogeneous dihedral symmetric Boolean functions. The minimal and maximal distances from a given Boolean function to the set of all dihedral symmetric Boolean functions are found. We prove that the set of all dihedral symmetric Boolean functions are metrically regular. © 2018 Academic Press. All Rights Reserved.
Cite this Research Publication : Rajeev K, M Sethumadhavan and Lakshmy K V “Results on Dihedral Symmetric Boolean Functions” International Journal of Pure and Applied Mathematics” 119(15),pp.3233-3238