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Exploring Fully Homomorphic Encryption

Today's digital world faces the challenge of keeping data safe while still being able to use it 

> FHE allows computations to be performed on encrypted data without ever needing to decrypt it, significantly enhancing data security

> This article dive deep into FHE, from theory to real-world applications

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FHE extends these capabilities significantly. Unlike basic HE, FHE is not restricted to a single type of operation (addition or multiplication); instead, it supports an unlimited sequence of both, applied in any combination. This allows for the execution of complex algorithms on encrypted data. For example, with FHE, one can compute any function f defined by polynomial expressions, Boolean circuits, or other computational models on encrypted inputs, such that: Dec(Eval(Enc(x), f)) = f(x) for any computable function f, where: