A novel construction of substitution box with Zaslavskii chaotic map and symmetric group

Article type: Research Article

Authors: Khan, Majid | Shah, Tariq

Affiliations: Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Islamabad, Pakistan | Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

Note: [] Corresponding author. Majid Khan, Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Islamabad, Pakistan. Tel.: +92 51 111 128 128 357; Fax: +92 51 4100619; E-mail: [email protected]

Abstract: In this article, we have presented a procedure to produce resilient nonlinear mechanisms used for the construction of substitution box (S-box). The planned nonlinear component assists in transforming the intelligible message or plaintext into an enciphered format by the use of Zaslavskii chaotic map and S8 permutations. A substitution box is generated that uses initial conditions, apply particular chaotic parameter values. The results of proposed S-box are compared with already existing S-boxes.

Keywords: Substitution box, block cipher, zaslavskii chaotic map, chaotic parameter, $S_8$ symmetric group

DOI: 10.3233/IFS-141434

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 4, pp. 1509-1517, 2015