It helps (me) to re-read your original question:
> I need to know exactly how the ECC lays into the free spare area.
> How are the ECC bits organized within the 16B free space…?
Why do you need to know this? What does decoding the syndrome get you?
> There's another post in the i.MX Community that's looking for the same information,
I've read through all of that. He was having a bad file system corruption problem, and found that the DRIVER code wasn't reading the correct "bad block marker" byte for his particular NFC chip (apparently NOT supported by the driver, but nothing told him that), and chased that problem down the rabbit hole for what looks to have been three months. That particular incompatibility in the driver (with the chip they were using) had nothing to do with his real problem, which was a DMA bug in Windows which they found eventually.
Attempting (and probably failing) to answer your question by reading the i.MX53rm.pdf (version 2.1) manual:
Table 51-6. Spare Area Buffer for NAND devices of 512B+16B, 2K+64, 4K +128B
That shows the first 8 bytes are the "user bytes" and the second 8 are the ECC. But you want to know which BITS are which?
51.8.15 ECC status result (NFC_ECC_STATUS_RESULT)
For further information of the ECC algorithm refer to 51.12.4/51-77
51.12.4 gives the physical connections to the chip, and "51-77" doesn't exist (51.36 is the last one) so that looks like a cut-and-paste error from a different manual. I'm not sure about the grammar either [1], but "information of" should be an unusual enough error that it should make something Google can find in other documents. No, Google doesn't have that phrase indexed. The NXP Search won't find it either. That's two good tools I've used to track these things down in the past that aren't working any more. This other reference seems to be what the first one was meant to be:
for further information of the ECC algorithm refer to ECC Normal Operation .
That is this section:
51.11.4.1 ECC Normal Operation
These 8/14/24/26 bytes of ECC code are calculated based on the generator
polynomial g(x) = x^13 + x^4 + x^3 + x + 1.
The above definition and the following might be enough to get you started if you want to back to basic ECC theory:
https://en.wikipedia.org/wiki/BCH_code
It is likely that the NFC module in the i.MX53 was bought in from outside. So it is likely that nobody at Freescale/NXP ever needed to know how this works, because it worked fine. Being bought in, the IP is probably NDA to the original owner. The development people also moved to i.MX6 work years ago. The i.MX6 chips have a DIFFERENT NFC controller that it seems you have to "build yourself" out of the DMA controller and the (apparently lot more complicated) 40-bit BCH controller. I'd suggest reading the following chapter in the i.MX6DQ manual to see how complicated it now is:
Chapter 17 40BIT Correcting ECC Accelerator (BCH)
Note 1: Google counts:
"for information about the": 61.3 million
"for information on the" 430 million
"for information of the" 971 thousand
Tom