These were the first LDPC codes based on an irregular degree design that has proved crucial to all later good LDPC code designs, which provably achieve channel capacity for the erasure channel, and which have linear time encoding and decoding algorithms.
These were the pioneering LDPC codes based on an irregular degree design that has been instrumental in all subsequent good LDPC code designs, which have been proven to achieve channel capacity for the erasure channel, and which possess linear time encoding and decoding algorithms.