B.5. Random Pairwise Scheme

A pairwise key predistribution scheme offers perfect resilience against node captures, that is, the capture of any number c of nodes does not reveal any information about the secrets used by uncaptured nodes. This corresponds to Pe = 0 irrespective of c. This desirable property of the network is achieved by giving each key to the key rings of only two nodes. Moreover, the sharing of a key k between two unique nodes u and v implies that these nodes can authenticate themselves to one another — no other node possesses k and can prove itself as u to v or as v to u.

Pairwise keys can be distributed to nodes in many ways. Now, we deal with random distribution. Let m denote the size of the key ring of each sensor node. For ...

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