Shah, TariqJahangir, SairaAndrade, Antonio Aparecido de [UNESP]2018-11-282018-11-282017-06-01Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 36, n. 2, p. 843-857, 2017.0101-8205http://hdl.handle.net/11449/165588Substitution boxes (S-boxes) are the fundamental mechanisms in symmetric key cryptosystems. These S-boxes guarantee that the cryptosystem is cryptographically secure and make them nonlinear. The S-boxes used in conventional and modern cryptography are mostly constructed over finite Galois field extensions of binary Field F-2 . We have presented a novel construction scheme of S-boxes which is based on the elements of subgroups of multiplicative groups of units of the commutative finite chain rings of type F-2[u]/< u(k)> , where 2 <= k <= 8 . Majority logic criterion (MLC) is applied on the apprehended S-boxes owing to, checked their strength.843-857engS-boxFinite chain ringUnit elementsSubgroup of order 16Majority logic criterionArtigo10.1007/s40314-015-0265-9WOS:000400272300002Acesso abertoWOS000400272300002.pdf