A digital audio data protection method using parametric action of generalised triangle group on GF(28)

The parametrization of the action of the modular group P S L ( 2 , Z ) for the triangle groups is extended for Δ ( 2 , 3 , k ) to the finite generalised triangle groups 〈 u , v | u 2 = v 3 = w k = 1 〉 where w = u v u v u v 2 u v u v 2 . Also, based on the resulting parametric equations, the authors have presented an audio encryption approach in this study. The extremely secure S-Box, which is then utilised to encrypt audio signals, is built using parametric equations. Utilising several audio sources, the effectiveness of the current approach is assessed. According to the simulation specially differential analysis average NSCR 99.96% and average UACI 33.33% as well as comparison results, the recommended method might prevent cryptographic vulnerabilities and produce reliable encryption results. • The parametric action for the GTG is completed by utilising the outcomes of the parametrization of modular group homomorphisms. • To provide a new approach to S-Box creation that makes use of the parametric action of the GTG on P L ( F 256 ) . • To evaluate the encryption algorithm's dependability using benchmark tests made specifically for audio encryption techniques. • The results will demonstrate how effectively the suggested encryption technique encrypts digital signals.