MySQL bitwise operations, bloom filter

I'd like to implement a bloom filter using MySQL (other a suggested alternative).

The problem is as follows:

Suppose I have a table that stores 8 bit integers, with these following values:

1: 10011010
2: 00110101
3: 10010100
4: 00100110
5: 00111011
6: 01101010

I'd like to find all results that are bitwise AND to this:

00011000

The results should be rows 1 and 5.

However, in my problem, they aren't 8 bit integers, but rather n-bit integers. How do I store this, and how do I query? Speed is key.