error erasure reed solomon decoder 330 thereafter the error erasure decoding process 800 constructs additional k u2212 l u2033 erasure from the list of l 20 in a manner similar to step 660 of fig6 for example for k 14 an erasure set can include the l u2033 10 erased symbol plus additional k u2212 l u2033 4 erasures taken from the erasure list of size l fig9 is a schematic block diagram further illustrating the implementation of the iterative error erasure decoding system of fig3 in a magnetic recording system according to another aspect of the invention shown in fig9 and discussed further below the read channel 910 of the iterative error erasure decoding system 300 of fig3 provides an error correction code ecc controller 950 with one or more of i position information ii a symbol classification signal identifying the category or group of the symbol or reliability information and iii the detected symbols in addition a feedback channel 960 from the ecc controller 950 to the read channel 910 can be employed in accordance with another aspect of the invention to control the erasure set generation by the erasure set generation function 315 for example the thresholds employed.