A greedy algorithm for deriving optical orthogonal codes using rejected delays reuse
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Bibliographic record
Abstract
This paper proposes a novel algorithm for constructing optical orthogonal codes (OOC). The proposed algorithm is a modified element-by-element greedy algorithm based on the extended set representation of optical orthogonal codes. The algorithm employs a technique that reuses previously rejected delay elements during the construction process. We call this method the rejected delays reuse (RDR) greedy algorithm. We show that employing the RDR method leads to code lengths that are significantly shorter than those achieved for OOCs constructed using the classical greedy algorithm for the same code weight and the same number of simultaneous codes constraints. To quantify the effect of the reduction in the code length on sub-wavelength multiplexing, we introduce a factor called the expansion efficiency factor and use it to show that the RDR generated codes have higher efficiency
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 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