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Hash functions are cryptographic algorithms that take an input (or "message") and produce a fixed-size string of characters, which is typically a digest that appears random. The security of hash functions is critical in various applications, including digital signatures, password storage, and data integrity verification. Here's a summary of key aspects of hash function security: ### 1. **Pre-image Resistance** - It should be computationally infeasible to reverse the hash output to derive the original input.

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