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Record W3091934412

Secret sharing schemes and noncommutative polynomial interpolation

2018· dissertation· en· W3091934412 on OpenAlexfundno aff
Daniel Johnson

Bibliographic record

VenueMspace (University of Manitoba) · 2018
Typedissertation
Languageen
FieldEngineering
Topicgraph theory and CDMA systems
Canadian institutionsnot available
FundersUniversity of Manitoba
KeywordsNoncommutative geometryInterpolation (computer graphics)PolynomialMathematicsPolynomial interpolationAlgebra over a fieldComputer scienceDiscrete mathematicsPure mathematicsLinear interpolationComputer graphics (images)Mathematical analysis
DOInot available

Abstract

fetched live from OpenAlex

Secret sharing schemes and polynomial interpolation - their link is by now historic. This thesis uses and develops noncommutative models of interpolation and subsequently extends the original Shamir scheme of 1979 in several instances. Using first left-oriented quaternion polynomials, also present are two novel schemes which use free quaternion polynomials. The schemes exhibited, though making no use of the numerous advancements of secret sharing schemes, may be themselves conceivably advanced in much the same way that the Shamir scheme has. Thus the groundwork for schemes with noncommutative polynomials is founded.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Qualitative · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.330
Threshold uncertainty score0.986

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.008
GPT teacher head0.192
Teacher spread0.184 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designQualitative
Domainnot available
GenreEmpirical

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".

Quick stats

Citations2
Published2018
Admission routes1
Has abstractyes

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