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4-bit crypto S-boxes: Generation with irreducible polynomials over Galois field GF(24) and cryptanalysis.

Sankhanil Dey, Amlan Chakrabarti, Ranjan Ghosh

Abstract



4-bit crypto S-boxes play a significant role in encryption and decryption of many cipher algorithms from last 4 decades. Generation and cryptanalysis of generated 4-bit crypto S-boxes is one of the major concerns of modern cryptography till now. In this paper 48, 4-bit crypto S-boxes are generated with addition of all possible additive constants to the each element of crypto S-box of corresponding multiplicative inverses of all elemental polynomials (EPs) under the concerned irreducible polynomials (IPs) over Galois field GF(24). Cryptanalysis of 48 generated 4-bit crypto S-boxes is done with all relevant cryptanalysis algorithms of 4-bit crypto S-boxes. The result shows the better security of generated 4-bit crypto S-boxes.

Keywords


Irreducible polynomials, Galois field, Finite field, Substitution boxes, 4-bit S-boxes

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