Rafiq, A., Bibi, S., Abbasi, A. Z., Ali, T. S., Abdullah, N., Becheikh, N., Ghachem, K., Hassen, W. (2026). Parametric action of homomorphic image of modular group and it’s application in image encryption. Scientific Reports. https://doi.org/10.1038/s41598-026-37082-0