The following is a list of binary keys: 0011, 1100, 1111, 1010, 0010, 1011, 0111, 0000, 0001, 0100, 1000, 1001, 0011. Design a hash function and an appropriate hash table to store and retrieve the keys efficiently. Compare the performance when the set is stored as a sequential list.

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Hash Table

A hash table also called a hash map, is a data structure that maps key-value pairs. The hash table can be used in complex systems to provide fast access and compact storage. A hash table is a structure that stores data in an abstract data type kind of associative array. It keeps data in an array format, with a distinct index value for every data value. If the index of the required data is known, then the data can be accessed very easily.