Ordinary abelian varieties having small embedding degree

Galbraith, Steven; McKee, J; Valenca, P

dc.contributor.author	Galbraith, Steven	en
dc.contributor.author	McKee, J	en
dc.contributor.author	Valenca, P	en
dc.date.accessioned	2012-05-28T01:54:31Z	en
dc.date.issued	2007	en
dc.identifier.citation	Finite Fields and Their Applications 13(4):800-814 2007	en
dc.identifier.issn	1071-5797	en
dc.identifier.uri	http://hdl.handle.net/2292/18675	en
dc.description.abstract	Miyaji, Nakabayashi and Takano (MNT) gave families of group orders of ordinary elliptic curves with embedding degree suitable for pairing applications. In this paper we generalise their results by giving families corresponding to non-prime group orders. We also consider the case of ordinary abelian varieties of dimension 2. We give families of group orders with embedding degrees 5, 10 and 12.	en
dc.publisher	Elsevier; Acadamic Press	en
dc.relation.ispartofseries	Finite Fields and Their Applications	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/1071-5797/	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	Ordinary abelian varieties having small embedding degree	en
dc.type	Journal Article	en
dc.identifier.doi	10.1016/j.ffa.2007.02.003	en
pubs.issue	4	en
pubs.begin-page	800	en
pubs.volume	13	en
dc.rights.holder	Copyright: Elsevier; Acadamic Press	en
pubs.end-page	814	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	90063	en
pubs.org-id	Science	en
pubs.org-id	Mathematics	en
pubs.record-created-at-source-date	2010-09-01	en