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Chapter 3 Time-to-live Covert Channels - CAIA

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Proportion ≤≤ x<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

CHAPTER 3. TIME-TO-LIVE COVERT CHANNELS<br />

<strong>CAIA</strong><br />

GrangeNet<br />

Twente<br />

0 5 10 15 20<br />

Number of TTL changes<br />

Waika<strong>to</strong><br />

Bell<br />

Leipzig<br />

Figure 3.3: Distribution of number of TTL changes per flow (x-axis limited <strong>to</strong> 20 changes)<br />

Proportion ≤ x<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Frequency of TTL change (1/packet_pair)<br />

<strong>CAIA</strong><br />

GrangeNet<br />

Twente<br />

Waika<strong>to</strong><br />

Bell<br />

Leipzig<br />

Figure 3.4: Distribution of frequency of TTL changes for flows with at least six TTL changes<br />

the <strong>CAIA</strong> trace have a large number of changes, because the trace contains many long<br />

flows that have roughly periodic TTL changes of unknown origin. Shorter flows are<br />

predominant in all other traces.<br />

Figure 3.4 depicts the CDFs of the change frequency for flows with at least six TTL<br />

changes. The TTL change frequency of a flow is defined as the number of TTL changes<br />

divided by the number of packet pairs. <strong>CAIA</strong> and Grangenet traces have very low fre-<br />

quencies. Twente, Leipzig, Waika<strong>to</strong> and Bell have higher frequencies, with roughly half<br />

of the flows changing TTL on average every third <strong>to</strong> second packet pair.<br />

3.1.5 Error probability distribution<br />

We define a TTL error as deviation of the TTL value of a packet from the most common<br />

value of the TTL during the life of a flow. Let the most common TTL value be TTLnorm.<br />

42

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