Post-Quantum Cryptography Based on Stellated Tetrahedron Topology. An Alternative to NIST PQC.

Key Points

• This research introduces a new class of post-quantum cryptography based on the stellated tetrahedron topology, aiming to enhance data security against quantum computing threats.
• Introduced a cryptographic system based on the topology of the stellated tetrahedron with specific parameters (49 elements, 8 vertices).
• Demonstrated that the inversion problem simplifies to understanding the phase θ(t) rather than computational complexity.
• Developed a Python prototype and mathematical foundations for the new cryptographic method.
• The proposed cryptographic system remains secure against Shor's algorithm, unlike traditional NIST PQC candidates.
• Provides a security lead of 20–30 years even against a million-qubit quantum computer.
• Can be implemented with available hardware, requiring a 57 Hz generator and tetrahedral resonator.