Implementing ECC using Montgomery and then benchmarking it

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Explore the foundations of Elliptic Curve Cryptography (ECC), focusing on modular arithmetic and efficiency. Implement ECC in Python with structured modular arithmetic classes and affine operations. Learn about Montgomery multiplication for efficient computation without division and key implementation techniques. Benchmark ECC performance, analyze speedups, and tackle Python's overhead challenges. Finally, delve into future applications like hardware accelerations, Jacobian coordinate...