Matches in SemOpenAlex for { <https://semopenalex.org/work/W2806171027> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2806171027 abstract "In their seminar paper, Miyaji, Nakabayashi and Takano introduced the first method to construct families of prime-order elliptic curves with small embedding degrees, namely k = 3, 4, and 6. These curves, so-called MNT curves, were then extended by Scott and Barreto, and also Galbraith, McKee and Valenca to near prime-order curves with the same embedding degrees. In this paper, we extend the method of Scott and Barreto to introduce an explicit and simple algorithm that is able to generate all families of MNT curves with any given cofactor. Furthermore, we analyze the number of potential families of these curves that could be obtained for a given embedding degree $k$ and a cofactor h. We then discuss the generalized Pell equations that allow us to construct particular curves. Finally, we provide statistics of the near prime-order MNT curves." @default.
- W2806171027 created "2018-06-13" @default.
- W2806171027 creator A5015328900 @default.
- W2806171027 creator A5019993874 @default.
- W2806171027 creator A5064868170 @default.
- W2806171027 creator A5069738249 @default.
- W2806171027 date "2018-06-07" @default.
- W2806171027 modified "2023-09-26" @default.
- W2806171027 title "On the near prime-order MNT curves" @default.
- W2806171027 cites W1610688607 @default.
- W2806171027 cites W2071680489 @default.
- W2806171027 cites W2122825463 @default.
- W2806171027 cites W2152924492 @default.
- W2806171027 cites W2154290215 @default.
- W2806171027 cites W2951379724 @default.
- W2806171027 doi "https://doi.org/10.48550/arxiv.1806.02536" @default.
- W2806171027 hasPublicationYear "2018" @default.
- W2806171027 type Work @default.
- W2806171027 sameAs 2806171027 @default.
- W2806171027 citedByCount "0" @default.
- W2806171027 crossrefType "posted-content" @default.
- W2806171027 hasAuthorship W2806171027A5015328900 @default.
- W2806171027 hasAuthorship W2806171027A5019993874 @default.
- W2806171027 hasAuthorship W2806171027A5064868170 @default.
- W2806171027 hasAuthorship W2806171027A5069738249 @default.
- W2806171027 hasBestOaLocation W28061710271 @default.
- W2806171027 hasConcept C10138342 @default.
- W2806171027 hasConcept C111472728 @default.
- W2806171027 hasConcept C114614502 @default.
- W2806171027 hasConcept C121332964 @default.
- W2806171027 hasConcept C138885662 @default.
- W2806171027 hasConcept C154945302 @default.
- W2806171027 hasConcept C162324750 @default.
- W2806171027 hasConcept C179603306 @default.
- W2806171027 hasConcept C182306322 @default.
- W2806171027 hasConcept C184992742 @default.
- W2806171027 hasConcept C199360897 @default.
- W2806171027 hasConcept C202444582 @default.
- W2806171027 hasConcept C24890656 @default.
- W2806171027 hasConcept C2775997480 @default.
- W2806171027 hasConcept C2780586882 @default.
- W2806171027 hasConcept C2780801425 @default.
- W2806171027 hasConcept C33923547 @default.
- W2806171027 hasConcept C41008148 @default.
- W2806171027 hasConcept C41608201 @default.
- W2806171027 hasConceptScore W2806171027C10138342 @default.
- W2806171027 hasConceptScore W2806171027C111472728 @default.
- W2806171027 hasConceptScore W2806171027C114614502 @default.
- W2806171027 hasConceptScore W2806171027C121332964 @default.
- W2806171027 hasConceptScore W2806171027C138885662 @default.
- W2806171027 hasConceptScore W2806171027C154945302 @default.
- W2806171027 hasConceptScore W2806171027C162324750 @default.
- W2806171027 hasConceptScore W2806171027C179603306 @default.
- W2806171027 hasConceptScore W2806171027C182306322 @default.
- W2806171027 hasConceptScore W2806171027C184992742 @default.
- W2806171027 hasConceptScore W2806171027C199360897 @default.
- W2806171027 hasConceptScore W2806171027C202444582 @default.
- W2806171027 hasConceptScore W2806171027C24890656 @default.
- W2806171027 hasConceptScore W2806171027C2775997480 @default.
- W2806171027 hasConceptScore W2806171027C2780586882 @default.
- W2806171027 hasConceptScore W2806171027C2780801425 @default.
- W2806171027 hasConceptScore W2806171027C33923547 @default.
- W2806171027 hasConceptScore W2806171027C41008148 @default.
- W2806171027 hasConceptScore W2806171027C41608201 @default.
- W2806171027 hasLocation W28061710271 @default.
- W2806171027 hasOpenAccess W2806171027 @default.
- W2806171027 hasPrimaryLocation W28061710271 @default.
- W2806171027 hasRelatedWork W1544814744 @default.
- W2806171027 hasRelatedWork W1553083934 @default.
- W2806171027 hasRelatedWork W1993777689 @default.
- W2806171027 hasRelatedWork W22694486 @default.
- W2806171027 hasRelatedWork W2562729828 @default.
- W2806171027 hasRelatedWork W2916636671 @default.
- W2806171027 hasRelatedWork W2952240200 @default.
- W2806171027 hasRelatedWork W2963678921 @default.
- W2806171027 hasRelatedWork W2963996153 @default.
- W2806171027 hasRelatedWork W2526015247 @default.
- W2806171027 isParatext "false" @default.
- W2806171027 isRetracted "false" @default.
- W2806171027 magId "2806171027" @default.
- W2806171027 workType "article" @default.