The exact indices of the packets that are corrupted doesn’t affect whether or not Berlekamp-Welch works; only the total number of packets corrupted…

The exact indices of the packets that are corrupted doesn’t affect whether or not Berlekamp-Welch works; only the total number of packets corrupted does.

True or False

Suppose k packets are corrupted. Then the error locating polynomial E(x) in Berlekamp-Welch has degree k.

True or False

Suppose k packets are corrupted. Then the error locating polynomial E(x) in Berlekamp-Welch has k+1 unknown coefficients that we must solve for during decoding.

True or False 

Explanations are needed.