International Association
for Cryptologic Research

he current cryptographic frameworks like RSA, ECC, and AES are potentially under quantum threat. Quantum cryptographic and post-quantum cryptography are being extensively researched for securing future information. The quantum computer and quantum algorithms are still in the early developmental stage and thus lack scalability for practical application. As a result of these challenges, most researched PQC methods are lattice-based, code-based, ECC isogeny, hash-based, and multivariate crypto schemes. In this paper, we explore other mathematical topics such as stereographic projection, Mobius transformation, change of basis, Apollonian circle, Binary Quadratic form equivalence, Gauss composition law, and its conjunctions. It fulfills preliminary conditions like bijection, primality, and np-hard problems, and the feasibility of one-way functions along with its interconnection. Thus allowing the exploration of new realms of mathematics for the development of secure protocols for future communication