Secrecy-Achieving Polar-Coding for Binary-Input Memoryless Symmetric Wire-Tap Channels

A polar coding scheme is introduced in this paper for the wire-tap channel. It is shown that the provided scheme achieves the entire rate-equivocation region for the case of symmetric and degraded wire-tap channel, where the weak notion of secrecy is assumed. For the particular case of binary erasure wire-tap channel, it is shown that a strong notion of secrecy is achieved. The case of general non-degraded wire-tap channels is also considered.