Spatially Coupled LDPC Codes With Small Constraint Length and Low Error Floor
Why this work is in the frame
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Bibliographic record
Abstract
In this letter, we design time-invariant spatially coupled low-density parity-check (SC-LDPC) codes with small constraint length and low error floor. For this, we modify the codes in the literature that have (close to) minimal constraint length for a given degree distribution and girth, to improve their error floor. This is performed by eliminating (or minimizing the multiplicity of) some of the dominant trapping sets (TSs) of the codes and/or increasing the minimum distance. To reduce the multiplicity of the TSs effectively and efficiently, we devise a technique based on the parent/child relationship between TSs that aims at successively minimizing the multiplicity of TSs depending on their harmfulness.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.002 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it