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Multivariate Polynomial Public Key Digital Signature Trefoil Knot Algorithm

2024· article· en· W4402264119 on OpenAlexafffund
Tommy Zhou, Zhehan Wang, Atinderpal Singh Lakhan, Iyad Isleem, Mohammed Abuibaid, Jun Steed Huang

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicCryptography and Residue Arithmetic
Canadian institutionsCarleton UniversityMcGill University
FundersCarleton University
KeywordsTrefoilMultivariate statisticsKey (lock)Computer scienceTrefoil knotSignature (topology)Public-key cryptographyAlgorithmPolynomialKnot (papermaking)Digital signatureMathematicsComputer securityMachine learningKnot theoryEngineeringEncryptionGeometry

Abstract

fetched live from OpenAlex

The imminent commercialization of quantum computing technologies poses significant risks to classical encryption algorithms. In response, the National Institute of Standards and Technology is spearheading efforts to standardize robust Post-quantum Cryptography (PQC) algorithms. This study focuses on the Multivariate Polynomial Public Key Digital Signature Trefoil Knot (MPPK/DSTK) algorithm, a notable advancement refactored from recent PQC developments, distinguished by its integration of true random numbers generated by quantum computers. To evaluate its integrity and robustness against deep learning-based brute force attacks, we introduced semi- covariance correlation analysis - a novel assessment method in this context - to explore the algorithm's resilience by potentially narrowing the search space. Our analysis reveals that MPPK/DSTK exhibits superior performance, with lower semi-covariance and enhanced robustness compared to the traditional Rivest-Shamir-Adleman (RSA) public-key cryptosystem, especially with selected seed primes. We have made our developments accessible on GitHub, inviting the research community to engage in further comparative studies and collaborative enhancements. This study underscores the MPPK/DSTK algorithm's potential as a formidable contender in the evolution of cryptography, offering a significant leap forward in securing digital communications against the quantum computing threat.

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 machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.005
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.004
Threshold uncertainty score0.014

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.005
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0010.001
Scholarly communication0.0010.002
Open science0.0010.001
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0040.001

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 head0.010
GPT teacher head0.228
Teacher spread0.217 · 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 source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreMethods

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

Citations0
Published2024
Admission routes2
Has abstractyes

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