Since your goal is: "is to find small substrings within large DNA sequences". It is better than you look for the small substrings by dividing the entire genome into many bins of particular size, for example: if you have DNA sequence of 1 million characters then don't read the entire million character at once. You should
1. Bin1: read first 100 characters i.e. (character 0-99 taking into account that indexing in perl starts from 0) at once
2. look for the small substrings and
3. Bin 2: then again read the 1-100 characters and look for small substrings
4. Bin3: read 2-101 characters and so on until you have scanned the entire sequence.
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