Intro to Algorithms

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Cryptographic hash

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Intro to Algorithms

Definition

A cryptographic hash is a mathematical function that transforms an input (or 'message') into a fixed-length string of characters, which appears random and is unique to each unique input. This property ensures that even the slightest change in the input produces a drastically different output, making it an essential tool for data integrity, security, and authentication.

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5 Must Know Facts For Your Next Test

  1. Cryptographic hashes are designed to be one-way functions, meaning they cannot be easily reversed to retrieve the original input data.
  2. Common cryptographic hash functions include SHA-256, SHA-3, and MD5, although MD5 is no longer considered secure due to vulnerabilities.
  3. These hashes are widely used in securing passwords by storing only the hash rather than the actual password, making it harder for attackers to gain access.
  4. The unique nature of cryptographic hashes ensures data integrity, as any alteration in the input will result in a completely different hash value.
  5. In blockchain technology, cryptographic hashes are crucial for linking blocks securely and ensuring that transaction data remains tamper-proof.

Review Questions

  • How does a cryptographic hash ensure data integrity in information systems?
    • A cryptographic hash ensures data integrity by generating a unique hash value for each input. When data is transmitted or stored, the corresponding hash is created and can be used later to verify the data's authenticity. If even a single bit of the original data changes, the resulting hash will differ significantly from the original, immediately signaling potential tampering or corruption.
  • Evaluate the importance of collision resistance in cryptographic hashing and its implications for security.
    • Collision resistance is crucial in cryptographic hashing because it prevents two different inputs from producing the same hash output. If such collisions could be easily found, attackers could substitute malicious data for legitimate information without detection. This property underpins the reliability of digital signatures and secure communications, where maintaining trust in the integrity of transmitted data is essential.
  • Analyze how cryptographic hashes are utilized within blockchain technology and their impact on security.
    • In blockchain technology, cryptographic hashes play a vital role by linking blocks together through their hash values. Each block contains the hash of the previous block along with its own transactions, creating an immutable chain. This structure makes it extremely difficult to alter any part of the blockchain without changing all subsequent blocks, thereby ensuring tamper-proof security and enhancing trust among users interacting with the system.
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