Hashing and hash tables are closely related concepts in computer science, but they serve different purposes and have distinct characteristics.
Hashing
Hashing is a process that involves converting an input (or key) into a fixed-size string of characters, which is typically a hash code. This is done using a hash function. The primary purpose of hashing is to enable fast data retrieval. Here are some key points about hashing:
- Hash Function: A hash function takes an input (or key) and returns a hash code, which is a fixed-size string of characters. The hash function is designed to distribute keys uniformly across the hash table to minimize collisions (when two keys hash to the same index) [1][2][3][4].
- Deterministic: A good hash function is deterministic, meaning it will always produce the same hash code for the same input [4].
- One-Way: Hash functions are typically one-way, meaning it is computationally infeasible to reverse the process and retrieve the original input from the hash code [4][14].
- Applications: Hashing is used in various applications, including data retrieval, data integrity checks, and cryptography [6][14][18].
Hash Tables
A hash table (or hash map) is a data structure that uses hashing to map keys to values. It stores data in an array format, where each data value has a unique index generated by a hash function. Here are some key points about hash tables:
- Structure: A hash table consists of an array of buckets or slots, each of which can store a key-value pair. The hash function determines the index at which a key-value pair should be stored [2][3][7][8].
- Efficiency: Hash tables provide efficient insertion, deletion, and lookup operations, typically in constant time $$O(1)$$, assuming a good hash function and low collision rate [6][8][16].
- Collision Resolution: Hash tables must handle collisions, which occur when multiple keys hash to the same index. Common collision resolution techniques include chaining (storing colliding elements in a linked list) and open addressing (finding another open slot in the array) [2][3][7][15].
- Applications: Has...