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Hardware Based Packet Classification for High Speed Internet Routers

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4.2 Multi-dimensional TCAM Minimization: The Optimization Techniques 37<br />

Fig. 4.4 Example of lazing copying<br />

and there is a one-to-one correspondence between the outgoing edges of v and the<br />

outgoing edges of v ′ such that every pair of corresponding edges have identical<br />

labels and they both point to the same node.<br />

We next show an example where FDD reduction helps to reduce the number<br />

of prex rules generated from an FDD. Consider the two equivalent FDDs in<br />

where Figure 4.5a is non-reduced and Figure 4.5b is reduced. If we run our multidimensional<br />

TCAM minimization algorithm on the two FDDs, we will produce 4<br />

prex rules as shown in Table 4.5(a) and 2 prex rules as shown in Table 4.5(b),<br />

respectively.<br />

Fig. 4.5a Be<strong>for</strong>e FDD reduction<br />

Fig. 4.5b After FDD reduction

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