Building curves with arbitrary small MOV degree over finite prime fields
| hal.structure.identifier | Laboratoire d'informatique de l'École polytechnique [Palaiseau] [LIX] | |
| hal.structure.identifier | Algorithmic number theory for cryptology [TANC] | |
| dc.contributor.author | DUPONT, Régis | |
| hal.structure.identifier | Laboratoire d'informatique de l'École polytechnique [Palaiseau] [LIX] | |
| hal.structure.identifier | Algorithmic number theory for cryptology [TANC] | |
| dc.contributor.author | ENGE, Andreas | |
| hal.structure.identifier | Laboratoire d'informatique de l'École polytechnique [Palaiseau] [LIX] | |
| hal.structure.identifier | Algorithmic number theory for cryptology [TANC] | |
| dc.contributor.author | MORAIN, François | |
| dc.date.issued | 2005 | |
| dc.identifier.issn | 0933-2790 | |
| dc.description.abstractEn | We present a fast algorithm for building ordinary elliptic curves over finite prime fields having arbitrary small MOV degree. The elliptic curves are obtained using complex multiplication by any desired discriminant. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | elliptic curves over finite fields | |
| dc.subject.en | MOV degree | |
| dc.subject.en | complex multiplication | |
| dc.title.en | Building curves with arbitrary small MOV degree over finite prime fields | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Journal of Cryptology | |
| bordeaux.page | 79-89 | |
| bordeaux.volume | 18 | |
| bordeaux.issue | 2 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | inria-00386299 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00386299v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Cryptology&rft.date=2005&rft.volume=18&rft.issue=2&rft.spage=79-89&rft.epage=79-89&rft.eissn=0933-2790&rft.issn=0933-2790&rft.au=DUPONT,%20R%C3%A9gis&ENGE,%20Andreas&MORAIN,%20Fran%C3%A7ois&rft.genre=article |
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