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Protocols for Secure Communication in Wireless Sensor Networks

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6.4. Security Evaluation 189<br />

ity of the network to reach consensus among the uncompromised nodes. As<br />

long as more than 2/3 of the nodes are uncompromised, consensus is possible.<br />

However, only those nodes that are able to communicate securely to the uncompromised<br />

nodes are able to draw the same conclusion. The number of nodes<br />

that are able to do so serves as the second security measure. Us<strong>in</strong>g an endto-end<br />

scheme, all uncompromised nodes would be able to reach agreement if<br />

no more than 2/3 of the nodes are compromised. As soon as this threshold is<br />

exceeded, no agreement is possible anymore.<br />

Consensus-enabled nodes<br />

500<br />

400<br />

300<br />

200<br />

100<br />

Consensus enabled nodes under attack<br />

End-to-end authentication<br />

Random spread; hop-to-hop authentication<br />

Random spread<br />

Hitpo<strong>in</strong>ts<br />

Concentrated<br />

Partition<br />

0<br />

0 50 100 150 200<br />

Compromised nodes<br />

Figure 6.17: Consensus-enabled nodes under different attacks<br />

Consensus-enabled nodes<br />

500<br />

400<br />

300<br />

200<br />

100<br />

0<br />

1<br />

0.8<br />

Consensus enabled nodes under attack<br />

0.6<br />

Psi<br />

0.4<br />

Random spread<br />

Hitpo<strong>in</strong>ts<br />

Concentrated<br />

Partition<br />

Figure 6.18: Correspondence between Ψ and consensus-enabled nodes<br />

Figure 6.17 shows how Canvas behaves with regard to consensus-enabled<br />

nodes under different attacks. For comparison, the behaviour of hop-to-hop<br />

authentication under a random spread attack is also <strong>in</strong>cluded.<br />

0.2<br />

0

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