Number Theoretic SETUPs for RSA Like Factoring Based Algorithms

This work summarizes the scope of kleptography and analyzes two new number theo- retic SETUPs for factoring encryption algorithms, one based on Lagrange's four square theorem and oneBased on Coppersmith's theorem, which target public key generation algorithms, whose key generation depends on the product of two primes, provid- ing a robust and secure solution.