Well, upto this point very little evidence of low error rates are has been properly presented. The pointer to the CDR site, ignores the fact that CDR's are made by a very different process to CD's. On the other hand Altman's analysis provide no real insight - a CD that looks badly scratched to YOU, might not be an issue for a laser following a .5micron wide track

Also, the "paper" you provided (which looks like a link to an undergraduate assignment) discusses the robustness of the code, but again provides no insight into the number of errors that happen during real playback.

The first step here is to characterize the jitter and then you need to show that jitter shows up in the audio output of the DAC and that it isn't perceptually masked by the signal (ie, that it can be heard.)

This was addressed in these papers (ie proper peer-reviewed papers published by a recognized professional body..)

"Jitter specification and assessment in digital audio equipment", J. Dunn, 93rd AES convention 1992.

"Theoretical and Audible effects of Jitter on Digital Audio Quality", Benjamin and Gannon, 105th AES Convention 1998.

Groan..

The distribution of the timing error and the time scale of the error is very significant, and impacts different DAC architectures in very different ways. This was covered by Robert Adams (of Analog Devices) in

"Clock Jitter, D/A converters and sample rate conversion", 95th AES Convention