Posted by: atri | March 15, 2010

## Lecture 22: Converse of Shannon’s Capacity Theorem

In today’s lecture, we proved the negative part of Shannon’s capacity result for $\mathrm{BSC}_p$. The proof (along with the calculations that I hand-waved over in the lecture) can be found in lecture 9 from fall 2007.

We also compared Hamming’s world with Shanon’s world. (This part was from lecture 11 from fall 2007.)

Here is a link to the lecture notes on Elias’  construction of a code that achieves $R>0$ and $p>0$ simultaneously for $\mathrm{BSC}_p$. The notes are from Venkat Guruswami‘s coding theory course at UW.