The replacement of irreducible polynomial and affine mapping for the construction of a strong S-box

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Alamsyah, Agus Bejo, Teguh Bharata Adji

2018 Nonlinear Dynamics Vol. 93 Issue 4 Article Cited by 23 Quartile

Abstract

Substitution box (S-box) is a critical part of the data encryption and decryption procedures. The primary function of the S-box in advanced encryption standard algorithm is to randomize the 8-bit input into 8-bit output. This paper presents a novel approach to S-box construction based on the replacement of irreducible polynomial and affine mapping. The strength of the created S-box is assessed by applying several standard tests, e.g., balance, bijective, nonlinearity, strict avalanche criterion, and bit independence criterion-nonlinearity. The strength of the S-box outperforms those of available S-boxes. © 2018, Springer Science+Business Media B.V., part of Springer Nature.

Affiliations

Department of Electrical Engineering and Information Technology, Universitas Gadjah Mada, Yogyakarta, Indonesia; Department of Computer Science, Universitas Negeri Semarang, Kota Semarang, Indonesia