Step 1: Understanding the Concept:
Restriction enzymes are named based on the genus, species, strain of the organism, and the order of discovery.
Step 2: Detailed Explanation:
1. First letter: Genus Helicobacter \(\rightarrow\) H
2. Next two letters: Species pyogenes \(\rightarrow\) py
3. Next part: Strain name \(\rightarrow\) DC
4. Roman numeral: Order of isolation (2nd) \(\rightarrow\) II
Combining these: Hpy DCII.
Step 3: Final Answer:
The name of the enzyme is Hpy DCII.