Bit-serial and digit-serial GF(2 <sup> <i>m</i> </sup> ) Montgomery multipliers using linear feedback shift registers
Why this work is in the frame
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Bibliographic record
Abstract
This work presents novel multipliers for Montgomery multiplication defined on binary fields GF(2m). Different to state of the art Montgomery multipliers, this work uses a linear feedback shift register (LFSR) as the main building block. The authors studied different architectures for bit-serial and digit-serial Montgomery multipliers using the LFSR and the Montgomery factors xm and xm−1. The proposed multipliers are for different classes of irreducible polynomials: general, all one polynomials, pentanomials and trinomials. The results show that the use of LFSRs simplifies the design of the multipliers architecture reducing area resources and retaining high performance compared to related works.
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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) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.003 |
| Open science | 0.001 | 0.001 |
| 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