A Fast Cryptanalysis of the Generalized Self-shrinking Sequences
Why this work is in the frame
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Bibliographic record
Abstract
An initial reconstruction algorithm is given for the generalized self-shrinking sequences using the ideas of the guessing attack.The result shows that: (1) when both the characteristic polynomial of the Linear Feedback Shift Register (LFSR) and the linear combiner are known, the algorithm ensures the cryptanalysis with complexity 0((L/2)~32~(L-l)) l≤L/2; (2) when the linear combiner is unknown, the algorithm ensures the cryptanalysis with complexity O(L~32~(2L-l)),l≤L; (3) When the characteristic polynomial of the LFSR is unknown, the algorithm ensures the cryptanalysis with complexity O(φ(2L-1)L~(-1)2~(2L-l)), l≤L. Here L is the length of the LFSR, φ is the Euler's totient function.
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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) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 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