MAX (Mathematical Applied to eXcryption) - New Encryption Algorithm with Dynamic Keys Based on Derived Parameters

MAX (Mathematical Applied to eXcryption) is an innovative cryptographic system designed to meet security needs in distributed environments such as IoT and
blockchain, where devices often have limited computational resources. Unlike traditional algorithms, MAX completely eliminates the need to transmit cryptographic
keys, autonomously generating them on each device synchronized through a simple timestamp. This feature significantly reduces the risk of interception and enhances
system resilience. The security of MAX is guaranteed by a solid mathematical foundation, making it impractical to breach, even with quantum computers.

The key generation is based on dynamically derived prime numbers through a nonlinear mathematical principle that introduces intrinsic ambiguity and combinatorial
complexity. Each key is temporary and frequently updated, further increasing protection. Practical tests on resource-constrained devices, such as the Raspberry Pi 4, demonstrate that MAX can generate hundreds of prime numbers and cryptographic keys in less than 0.25 seconds for thousands of iterations, highlighting its high computational efficiency.

With its adaptability and reduced infrastructure costs, MAX is an immediately implementable solution for modern scenarios such as IoT and blockchain. Although unconventional, MAX provides a robust foundation for standardization and paves the way for a new cryptographic paradigm, leaving room for further validation and development.