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A unibit trie is special type of tree that is used for retrieving data. It allows a natural way to organize IP prefixes and uses the bits of prefixes to direct the branching. If the examined bit is 0 we branch left, otherwise we branch right. The unibit for the sample forwarding table is shown in Fig. 1.


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An example data structure of each node in the unibit is also shown on the top right part of Fig. 1, including the next hop address (if it is a prefix node), a left pointer pointing to the left child location (with an address bit 0) and a right pointer pointing to the right child location (with an address bit 1).

Performance and evaluation: The main disadvantage of using the unibit trie for IP route lookup is its speed because it needs 32 random reads in the worst case for IPv4. To add a prefix to the trie, in the worst case it needs to add 32 nodes. In this case, the storing complexity is 32xNxS. In summary, the lookup complexity is O(W), so is the update complexity. The storage complexity is O(NW). Note that some of the nodes are shared along the prefix paths and, thus, the upper bound might not be tight.

Let us verify our unibit implementation java code using the sample prefixes shown in Fig. 1. The following java code is used to create a new unibit trie, insert the prefixes, and find the longest matching prefix of the destination address 1110100

Fig. 2 shows the console output after running the above code. Referring back to Fig. 1, we can see that there are 17 nodes in total. The longest prefix match for the destination address 1110100 is P7 and 6 nodes needs to be accessed in order to find the BMP. The unibit trie example is simple as W in the worst case is 7 because the longest prefix stored is P9 of length 7.

As we have seen earlier, prefixes can overlap with each other. The longest prefix matching rule breaks the tie by choosing the prefix that matches as many bits as possible. With disjoint prefixes (one prefix does not overlap with another) it is possible to avoid the longest prefix matching rule and still find the most specific forwarding information. A trie used to represent disjoint prefixes will have prefixes at the leaves and not at the internal nodes. To obtain a disjoint unibit trie, we simply add leaf nodes to nodes that have only one child. These new leaf nodes represent new prefixes and they inherit forwarding information from the closest ancestor marked as a prefix. Finally, internal nodes marked as prefixes are unmarked. 17dc91bb1f

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