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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 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 categoriesScholarly communication
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Other design · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.931
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0020.001
Open science0.0010.000
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 head0.010
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 teacher head, not a consensus.

Study designOther design
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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