An optimized substitution box generator based on cubic pell curves and its application in image encryption.

ABSTRACT: In today's digital landscape, safeguarding confidential data from cyber threats and unauthorized breaches is more crucial than ever. A key component in modern cryptographic systems is the substitution box (S-box), which ensures data security through complex transformations. Designing S-boxes with high nonlinearity and computation efficiency is still challenging. In this paper, we propose a novel S-box generator based on cubic Pell curves. The key idea of our generator is to utilize the randomness of the points over the cubic Pell curves by using their binary strings. The optimized S-boxes are obtained by performing swapping operations on initial S-boxes that ensure high nonlinearity. Cryptographic evaluations including nonlinearity (NL), strict avalanche criterion (SAC), bit independence c

SUBMITTER: Khan MAM 

PROVIDER: S-EPMC12855255 | biostudies-literature | 2026 Jan

REPOSITORIES: biostudies-literature