Abstract
•S-boxes are based upon linear fractional transformation and chaotic systems.•The nonlinear combinations of 1-D chaotic maps have improved chaotic ranges.•S-boxes are assessed by using different analyses and results are quite satisfactory.•The MLC analyses indicate that these S-boxes are best for secure communication.
Substitution boxes are used in different security techniques and cryptosystems to ensure the secure communication of data. To enhance the randomness and perplexity of data, chaos theory has utmost importance in encryption schemes and multimedia security. In this paper, Substitution boxes are developed by using linear fractional transformation and combination of chaotic systems with the increased chaotic range as compared to their seed maps. The Substitution boxes are assessed by using various analyses which include nonlinearity, strict Avalanche criterion, bit independence criterion, linear and differential approximation probabilities. Majority logic criterion is also performed to evaluate its application in various encryption systems.