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We study a random extended network, where the legitimate and eavesdropper nodes are assumed to be placed according to Poisson point processes in a square region of area n. It is shown that, when the legitimate nodes have unit intensity, λ = 1, and the eavesdroppers have an intensity of λe = O (log n) −2 , almost all of the nodes achieve a perfectly secure rate of Ω 1 √ n . The achievability argument is based on a novel multi-hop forwarding scheme where randomization is added in every hop todoi:10.1109/ita.2010.5454119 dblp:conf/ita/KoyluogluKG10 fatcat:ju7y2lxzw5fq5hjqqlxj2szbwq