How does Aires use Diophantine equations in file encryption?

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Aires Utilises Diophantine Equations for Quantum-Resistant Encryption

Aires Applied Quantum Technology has developed a novel file encryption method, branded LionGuard, that leverages the inherent complexity of Diophantine equations to secure data against potential threats from quantum computers. This approach, patented by co-founder Lim Meng Liang, uses sender-generated keys to encrypt files, with the underlying mathematical framework designed to be resistant to the advanced computational power of quantum machines. The company has successfully attracted significant investment and is currently testing its beta application with a growing base of enterprise clients.
Mathematical Foundation of LionGuard

The core of Aires' encryption technology lies in its application of Diophantine equations. These are algebraic equations, typically polynomial, for which only integer solutions are sought. Historically, many Diophantine equations are known for being extremely difficult, or even practically impossible, to solve, especially when dealing with higher degrees or multiple variables. Lim Meng Liang secured a US patent for applying these "unsolvable" mathematical problems to the field of data encryption.
Encryption Mechanism with Sender-Generated Keys

LionGuard operates by encrypting files using keys generated by the sender. This process is built upon the principles of Diophantine equations, where the difficulty in finding solutions to these equations forms the basis of the encryption's strength. The methodology is specifically engineered to counter the anticipated capabilities of quantum computers, which experts suggest could break current encryption standards much faster than classical computers.
Commercialisation and Early Adoption

Founded in 2023 by brothers Lim Meng Liang and Ken Lin, Aires Applied Quantum Technology has already garnered over US$2 million in funding from private investors and government entities. The LionGuard app is presently in a beta phase, with more than 100 enterprise subscribers. These early adopters span diverse sectors, including oil and gas, commodities trading, education technology, cloud services, and financial services, indicating a broad industry interest in quantum-resistant cybersecurity solutions.

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How does Aires use Diophantine equations in file encryption?

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