Original sentence: LDPC was the first code to allow data transmission rates close to the theoretical maximum, the Shannon limit.While LDPC and other error correcting codes cannot guarantee perfect transmission, the probability of lost information can be made as small as desired
Edited sentence: This threshold is a function of the LDPC code family and in certain cases can be arbitrarily close to the theoretical maximum (the Shannon limit).While LDPC and other error correcting codes cannot guarantee perfect transmission, the probability of lost information can be made as small as desired for a symmetrical memoryless channel given the channel noise is below a threshold