  In this paper, we design the optimal rate capacity approaching irregular
Low-Density Parity-Check code ensemble over Binary Erasure Channel, by using
practical Semi-Definite Programming approach. Our method does not use any
relaxation or any approximate solution unlike previous works. Our simulation
results include two parts; first, we present some codes and their degree
distribution functions that their rates are close to the capacity. Second, the
maximum achievable rate behavior of codes in our method is illustrated through
some figures.
