SIMD implementation of interpolation in algebraic soft-decision Reed-Solomon decoding
Bibliographic record
Abstract
The Koetter-Vardy algorithm is an algebraic soft-decision decoding algorithm for Reed-Solomon codes. Software implementations of the Koetter-Vardy algorithm are considered as part of a redecoding architecture that augments a hardware hard-decision decoder with soft-decision decoding software on an embedded processor. In this paper we investigate the implementation of the interpolation step of the Koetter-Vardy algorithm on SIMD processor architectures. A parallelization of the algorithm is given using the K'th order Horner's rule for parallel polynomial evaluation. The SIMD algorithm has a running time 2.5 to 4 times faster than a serial implementation on a DSP processor. To gain further speedup we propose a merged-SIMD architecture that calculates the Hasse derivative in parallel with the polynomial updates.
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How this classification was reachedexpand
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 | 0.001 |
| 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) | 0.000 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".