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Record W4226062551 · doi:10.1515/jmc-2022-0002

A code-based hybrid signcryption scheme

2023· preprint· en· W4226062551 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueJournal of Mathematical Cryptology · 2023
Typepreprint
Languageen
FieldComputer Science
TopicCryptography and Data Security
Canadian institutionsUniversity of Waterloo
FundersImpact FundSilicon Valley Community Foundation
KeywordsSigncryptionKey encapsulationCiphertextComputer scienceCode (set theory)EncryptionMcEliece cryptosystemTheoretical computer scienceCiphertext indistinguishabilityScheme (mathematics)Signature (topology)Public-key cryptographyHybrid cryptosystemMathematicsSymmetric-key algorithmComputer networkMalleabilityProgramming language

Abstract

fetched live from OpenAlex

Abstract A key encapsulation mechanism ( <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="sans-serif">KEM</m:mi> </m:math> {\mathsf{KEM}} ) that takes as input an arbitrary string, i.e., a tag, is known as tag- <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="sans-serif">KEM</m:mi> </m:math> {\mathsf{KEM}} , while a scheme that combines signature and encryption is called signcryption. In this article, we present a code-based signcryption tag- <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="sans-serif">KEM</m:mi> </m:math> {\mathsf{KEM}} scheme. We utilize a code-based signature and an <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="sans-serif">IND</m:mi> <m:mstyle> <m:mspace width="0.1em"/> <m:mtext>-</m:mtext> <m:mspace width="0.1em"/> </m:mstyle> <m:mi mathvariant="sans-serif">CCA2</m:mi> </m:math> {\mathsf{IND}}\hspace{0.1em}\text{-}\hspace{0.1em}{\mathsf{CCA2}} (adaptive chosen ciphertext attack) secure version of McEliece’s encryption scheme. The proposed scheme uses an equivalent subcode as a public code for the receiver, making the NP-completeness of the subcode equivalence problem be one of our main security assumptions. We then base the signcryption tag- <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="sans-serif">KEM</m:mi> </m:math> {\mathsf{KEM}} to design a code-based hybrid signcryption scheme. A hybrid scheme deploys asymmetric- as well as symmetric-key encryption. We give security analyses of both our schemes in the standard model and prove that they are secure against <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="sans-serif">IND</m:mi> <m:mstyle> <m:mspace width="0.1em"/> <m:mtext>-</m:mtext> <m:mspace width="0.1em"/> </m:mstyle> <m:mi mathvariant="sans-serif">CCA2</m:mi> </m:math> {\mathsf{IND}}\hspace{0.1em}\text{-}\hspace{0.1em}{\mathsf{CCA2}} (indistinguishability under adaptive chosen ciphertext attack) and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi mathvariant="sans-serif">SUF</m:mi> <m:mstyle> <m:mspace width="0.1em"/> <m:mtext>-</m:mtext> <m:mspace width="0.1em"/> </m:mstyle> <m:mi mathvariant="sans-serif">CMA</m:mi> </m:math> {\mathsf{SUF}}\hspace{0.1em}\text{-}\hspace{0.1em}{\mathsf{CMA}} (strong existential unforgeability under chosen message attack).

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.

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)0.002
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.154
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0020.001
Research integrity0.0000.002
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 head0.057
GPT teacher head0.307
Teacher spread0.250 · 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