On the nonlinearity profile of cryptographic Boolean functions
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Bibliographic record
Abstract
Boolean functions play a major role in the construction of symmetric key primitives such as block ciphers, stream ciphers and hash functions. The security of these primitives depends on the cryptographic properties of the Boolean functions used in its construction. Various criteria, including balance, nonlinearity, resiliency and algebraic immunity, have been proposed for measuring the cryptographic strength of Boolean functions. Let criterion C denote the cryptographic property of interest. We define the C-profile of the Boolean function as a measure that shows how this criterion degrades when we fix a subset of the input coordinates of the function. This is interesting from a cryptanalytic point of view, since fixing the coordinates of a cryptosystem is a well known cryptanalysis method. In this paper, we introduce this concept and apply it to the nonlinearity property of the cryptographic Boolean 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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| 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