Our Patents
Patent No.: US 11,522,674 B1
ENCRYPTION, DECRYPTION, AND KEY GENERATION APPARATUS AND METHOD INVOLVING DIOPHANTINE EQUATION AND ARTIFICIAL INTELLIGENCE
Patent No.: US 12,289,392 B2
ENCRYPTION, DECRYPTION, AND METHOD INVOLVING DIOPHANTINE EQUATION AND COMMUNICATION THEREOF BY WAVE TRANSMISSION
Pub. No.: US 2024/0168722 A1
APPARATUS AND METHOD FOR RANDOM VARIABLE GENERATION WITH INFINITE POSSIBLE OUTCOMES
Strengths of Our Patents
Alternative Hardness Assumption
Diophantine encryption derives its strength from solving certain classes of Diophantine equations, which are NP-hard problems, providing a distinct cryptographic foundation that stands apart from existing approaches. By relying on this unique hardness assumption, it contributes to cryptographic diversity and introduces resilience for post-quantum security, offering protection even if traditional methods encounter new weaknesses.
No Known Quantum Attacks
Shor’s algorithm can break RSA and ECC, while Grover’s algorithm provides a quadratic speedup for brute force attacks. However, no polynomial-time quantum algorithm is currently known for solving Diophantine equations, making Diophantine encryption a strong candidate for quantum resistance, at least until proven otherwise.
Scalable Security Using Parameterization
By adjusting the degree, number of variables, or constraints in the Diophantine system, the problem’s hardness can be tuned, providing a conceptually infinite key space and enabling designers to scale up security margins as needed.
Potential Use in Hybrid PQC
Diophantine schemes can also be layered with other post-quantum methods to provide defense-in-depth, ensuring that even if one assumption is broken, the hybrid may remain secure—an approach especially useful in research settings where redundancy is valuable.
Expands the PQC Research Ecosystem
Exploring Diophantine-based primitives increases the diversity of post-quantum tools and may lead to novel constructions such as encryption, signatures, and commitments, while also creating valuable intellectual property opportunities.