MDS codes on the erasure-erasure wiretap channel

Understand

This paper considers the problem of perfectly secure communication on a modified version of Wyner's wiretap channel II where both the main and wiretapper's channels have some erasures.

• A secret message is to be encoded into $n$ channel symbols and transmitted.
• The main channel is such that the legitimate receiver receives the transmitted codeword with exactly $n - \nu$ erasures, where the positions of the erasures are random.
• Additionally, an eavesdropper (wire-tapper) is able to observe the transmitted codeword with $n - \mu$ erasures in a similar fashion.