The precise location of recorded bits around the track moves around somewhat. That is why the controller does something called "read with offset" when re-reading a block that produced a data check (aka "head shaking"). The read-write mechanism/transducer is moved a tiny distance to the left of the center of where the track is supposed to be, the data is read, if still bad then the transducer is moved a tiny distance to the right of the center... If the data cannot be read correctly (i.e., no data check indication) and you have moved the transducer so far to either side that it is now within the tolerance for the adjacent track, then you give up on reading that block.

Another issue is residual magnetism. When you magnetize a substance, a large % of the molecules are aligned in a certain way. When you erase that data, not all the molecules get realigned back to their original direction. This is why skilled recording experts with expensive, sensitive equipment can recover recorded data that was over-written or erased. The cost of such recovery is high. The cost of erasing data to the point that it cannot be recovered by an expert is also high. The trade-off is how valuable is the data to you and what would it cost you if someone else got the data.

Don't forget that none of the above can be done from the mainframe. To do these actions, someone must remove the FBA disks from the mainframe disk subsystem, attach them to a SCSI/Fiber channel with an appropriate PC or equipment, and then execute the proper diagnostic command to try and read the residual data. What you will get is the data that the mainframe CU emulator wrote on the FBA disk, including emulated count fields and such, which varys by manufacturer. Just makes the job of someone trying to recover your data more difficult. From the mainframe CCW point-of-view, once you write over a track, the previous contents are no longer recoverable.
Bruce Black

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