Construction of Substitution Box from Nordstrom–Robinson \((\mathcal N_{16})\) Code

Cryptography is promising primitive for secure communication. Substitution permutation networks (SPN) is one cryptographic scheme which uses substitution box (S-box). S-box is an integral part of many encryption schemes. These are nonlinear mapping functions having certain desirable properties like bijectiveness, nonlinearity, balancedness, algebraic immunity, independence, completeness, strict avalanche criteria, etc. Designing good S-boxes is a research problem. In this paper, we discuss a method of designing S-boxes based on the Nordstrom–Robinson code \((\mathcal {N}_{16})\) which is a nonlinear code and explained various properties of designed S-box. We also compare our designed S-box with Rijndael S-box.