Conferences: Strong Secrecy on a Class of Degraded Broadcast Channels Using Polar Codes
Del Olmo Alos and J. Rodríguez Fonollosa

Abstract

Different polar coding schemes are proposed for the memoryless degraded broadcast channel under different reliability and secrecy requirements: layered decoding and/or layered secrecy. In this setting, the transmitter wishes to send multiple messages to a set of legitimate receivers keeping them masked from a set of eavesdroppers, and individual channels are assumed to gradually degrade in such a way that each legitimate receiver has a better channel than any eavesdropper. The layered decoding structure requires receivers with better channel quality to reliably decode more messages, while the layered secrecy structure requires eavesdroppers with worse channel quality to be kept ignorant of more messages. The proposed coding schemes do not require any chaining construction due to the degraded nature of the channels. However, to deal with the non-uniform input distribution and to provide explicit coding schemes that do not rely on the existence of certain deterministic mappings, the transmitter must share secret seeds of negligible size (in terms of rate penalty) with the legitimate receivers.


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