How Does the Concept of a “Trapdoor Function” Relate to Cryptographic Security?

A trapdoor function is a function that is easy to compute in one direction but extremely difficult to reverse without a piece of secret information, the "trapdoor." While SHA-256 is a one-way function, it is not a trapdoor function because there is no secret key to reverse it. Trapdoor functions are mainly used in public-key cryptography, like RSA, not in hashing.

What Is the “One-Way” Property of ECC?
Why Is the Public Key Derived from the Private Key, and Not Vice Versa?
How Do Hash-Based Commitments, like Hash Time-Locked Contracts (HTLCs), Facilitate Cross-Chain Atomic Swaps of Options?
How Does a Signature Prove Ownership of Funds without Revealing the Private Key?
Can the Nonce Be Used to Reverse-Engineer the Block’s Data?
How Would the Inability to Reverse the Function Break Cryptocurrency Security?
What Is the Relationship between a Public Key and a Private Key in ECDSA?
What Cryptographic Principle Underpins the “Commit” Phase of the Scheme?

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