Identifying a class of multiple shift complementary sequences in the second order cosets of the first order Reed-Muller codes
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Bibliographic record
Abstract
Multiple-shift complementary sequences (MCS), a generalized form of Golay complementary sequences, have recently been introduced to encode OFDM signals, allowing a better trade-off between the code rate and peak-to-mean envelope power ratio (PMEPR). However, a table of such sequences needs to be constructed by exhaustive search, a practically impossible task for a moderately large number of sub-carriers. As has been done for Golay complementary sequences and generalized Golay complementary sequences, this paper successfully identifies a class of MCS as the second order cosets of the first order Reed-Muller codes. We also present a new proof for the PMEPR of MCS.
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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 | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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