Efficient Elliptic Curve Cryptography for Embedded Devices
Why this work is in the frame
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Bibliographic record
Abstract
Many resource-constrained embedded devices, such as wireless sensor nodes, require public key encryption or a digital signature, which has induced plenty of research on efficient and secure implementation of elliptic curve cryptography (ECC) on 8-bit processors. In this work, we study the suitability of a special class of finite fields, called optimal prime fields (OPFs), for a “lightweight” ECC implementation with a view toward high performance and security. First, we introduce a highly optimized arithmetic library for OPFs that includes two implementations for each finite field arithmetic operation, namely a performance-optimized version and a security-optimized variant. The latter is resistant against simple power analysis attacks in the sense that it always executes the same sequence of instructions, independent of the operands. Based on this OPF library, we then describe a performance-optimized and a security-optimized implementation of scalar multiplication on the elliptic curve over OPFs at several security levels. The former uses the Gallant-Lambert-Vanstone method on twisted Edwards curves and reaches an execution time of 3.14M cycles (over a 160-bit OPF) on an 8-bit ATmega128 processor, whereas the latter is based on a Montgomery curve and executes in 5.53M cycles.
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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 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.002 | 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