Security for Multihop Wireless Networks

330  ◾  Security for Multihop Wireless Networks

In the case of identifiers with three dimensions, each node a will have an iden-

tity of the form

(, ,)aaa

123

and will maintain secret keys shared with those nodes

that have two common identifier indexes, that is, with the nodes with identifiers

of the form

(,

,)

ia a

23

,

(,,)aia

13

, and

(,

,)

aai

12

, being i ϵ {0, 1, 2, …,

n

3

}. With

such a configuration, the messages exchanged for the key establishment must travel

through at most two intermediaries.

anks to increasing the number of dimensions of the used identifiers, it is

possible to save memory, as the number of secret keys to be stored by each node

is reduce ...