Bibliographic record
Abstract
Maximal-length sequences or m-sequences over a finite field F q are a wellknown and studied class of sequences with desirable properties such as balance of both individual elements and tuples.Interleaved sequences are created by combining a base sequence a of period s and a shift sequence e of length T , consisting of elements from Z q ∪ {∞}.This thesis examines interleaved sequences to determine which properties of m-sequences are preserved when the m-sequence is used as a base sequence.First an equivalence relation on shift sequences is defined, with two operations that can be applied to these sequences.Palindromic sequences are defined, and the exact conditions for the interleaved sequence to also be palindromic are given.The period of the interleaved sequence was previously known to divide sT , but this thesis proves that the length of the interleaved sequence can be l then, letting n = sT /l we must have n | T and gcd(n, s) = 1.The results of experimentation on using the interleaved sequences to construct covering arrays are given.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.005 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.003 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".