Fractal Geometry as the Blueprint for Encryption

The application of Iterated Function Systems (IFS) with separation criteria to cryptography is examined in this research, offering a novel mathematical foundation for secure communication. The paper describes techniques to encode, encrypt, and authenticate communications using projective spaces and matrix transformations, building on fractal geometry, graph-directed constructions, and homographic IFS. The paper demonstrates how fractal-based models can be used as the basis for novel cryptosystems that go beyond traditional methods by highlighting encryption techniques and message integrity checks.