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

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Data Science and Applications (ICDSA 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 819))

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Abstract

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 map** 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.

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Correspondence to Deepak Agrawal .

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© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Agrawal, D. (2024). Construction of Substitution Box from Nordstrom–Robinson \((\mathcal N_{16})\) Code. In: Nanda, S.J., Yadav, R.P., Gandomi, A.H., Saraswat, M. (eds) Data Science and Applications. ICDSA 2023. Lecture Notes in Networks and Systems, vol 819. Springer, Singapore. https://doi.org/10.1007/978-981-99-7820-5_39

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