Welcome to the resource topic for 2024/927
Title:
MATHEMATICAL SPECULATIONS ON CRYPTOGRAPHY
Authors: Anjali C B
Abstract: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
ePrint: https://eprint.iacr.org/2024/927
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