In practice, hash functions are used for “digesting” large data. For example, if you want to check the validity of a large file (potentially much larger than a few megabytes), you can check the …

What is a good way of doing that? One way is we can create a hash table, and then make a single pass through our sequence, for each element doing a lookup and then inserting if it is not in …

SHA-224 and SHA-384 are simply truncated versions of SHA-256 and SHA-512 using different initial values. 1. Append padding bits. 2. Append length. SHA-1 produces 160 bit output, SHA …

Perfect Hashing (for static case) We say a hash function is perfect for S if all lookups involve O(1) work.

Learning Objectives Understand the Hash Function Examples Evaluate what makes a good hash function

This is a useful design principle to keep in mind: If we want to design a hash table with no collisions, then the size of the hash table should be larger than the square of the number of …

A cryptographic hash function has the same properties as ordinary hash functions: it is easy to compute, takes an arbitrarily long input string (or file), and it produces a random-looking, fixed …