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blintz base · Jan 24, 2025

Why cryptography is not based on NP-complete problems

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Cryptography is not based on NP-complete problems - let me explain why. Hard problems in cryptography Cryptographic schemes are based on the computational difficulty of solving some ‘hard’ problem. For example, RSA (specifically, RSA-2048) is based on the difficulty of a problem like this: The RSA Problem I generate two large, random prime numbers, p p p and q q q , each of length 1024…

Cryptography is not based on NP-complete problems - let me explain why.

Hard problems in cryptography

Cryptographic schemes are based on the computational difficulty of solving some ‘hard’ problem. For example, RSA (specifically, RSA-2048) is based on the difficulty of a problem like this:

The RSA Problem

I generate two large, random prime numbers, p and q, each of length 1024 bits. I then give you the product n=pq. Find p.

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