EXHIBIT 03

THE CORRECTION BUDGET

Damage can be data, until it is too much damage.

Reed-Solomon codewords let a reader repair limited symbol errors. Deliberate changes can carry a second signal, but every changed codeword spends part of the same budget needed for scratches, blur, and missing modules.

LIVE MULTI-BLOCK LAB / WAN-STYLE REGION OPTION

LIVE CORRECTION LAB

Spend the margin

One highlighted module is flipped in each selected codeword. ZXing independently decodes the modified matrix after every change.

Predict first

You are about to push the number of changed codewords past the correction budget. How does the symbol fail?

The same number of altered codewords is distributed round-robin across Reed-Solomon blocks.

ORIGINAL / NO CODEWORD ERRORS
MODIFIED
CORRECTION BUDGET

WHAT THE SCANNER SEES

WHAT CHANGED UNDERNEATH

WHAT A SECOND READER CAN RECOVER

HOW AN ANALYST CAN NOTICE

IDEA LINEAGE

Correctable changes became a family of channels.

  1. 2013-2018QR steganography literature

    Use correctable module or codeword changes for secondary data, with different capacity and robustness tradeoffs.

    Wan et al.
  2. THIS LABBlock-local correction experiment

    Hold the error count fixed, change only placement, and ask an independent decoder what survives.

FINDING

Error correction is a robustness reserve, not free capacity.

Changing a module in a distinct codeword creates a Reed-Solomon symbol error. A decoder can often restore the overt message while those errors remain within every block's correction limit. Hiding and environmental damage compete for that same finite margin.

Research basis: this generalized laboratory illustrates the family of correctable-change techniques cited in Chiang et al. (2013), Bui et al. (2014), Lin & Chen (2017), Huang et al. (2018), and Wan et al. (2017/2018). The lower-right data-region option follows Wan's spatial rule, while the spread/concentrate comparison isolates the paper's per-block limit. It does not reproduce the paper's maximum-region calculation for every QR version.

Read the research note