This paper studies the problem of secure communication over noiseless 1-2-1 networks, an abstract model for networks with directional communication capabilities such as mmWave networks. A secure transmission scheme is designed and shown to achieve a secure rate that is larger than state-of-the-art lower bounds for a class of 1-2-1 network topologies. The proposed scheme leverages the scheduling nature of 1-2-1 networks, the network topology, as well as storage at intermediate nodes to create shared randomness with the source to improve the secure rate. Finally, a novel outer bound is derived and shown to match the achievability bound under certain network conditions, hence characterizing the secure capacity in such regimes.
|Original language||English (US)|
|Title of host publication||2020 IEEE Information Theory Workshop, ITW 2020|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|State||Published - Apr 11 2021|
|Event||2020 IEEE Information Theory Workshop, ITW 2020 - Virtual, Riva del Garda, Italy|
Duration: Apr 11 2021 → Apr 15 2021
|Name||2020 IEEE Information Theory Workshop, ITW 2020|
|Conference||2020 IEEE Information Theory Workshop, ITW 2020|
|City||Virtual, Riva del Garda|
|Period||4/11/21 → 4/15/21|
Bibliographical noteFunding Information:
Y. H. Ezzeldin and C. Fragouli were supported in part by NSF awards 1740047, 1824568 and UC-NL grant LFR-18-548554.