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- W183871989 abstract "It is well known that elliptic curves with cyclic group of rational points over nite elds play an important role in many applications of such curves to artithmetic, cryptography, etc. (cf., for example, [1, 2, 6]). It is but natural to ask for elliptic curve (with a cyclic group of rational points over a nite eld) to to describe the extensions of the ground eld for which the curve is cyclic (i.e. has a cyclic rational points group) as well. This question is Problem 6.3 in [6]. Let us x some notation and pose the problem more precisely. Let E be an elliptic curve over a nite eld F q with qpa elements, its characteristic being p; let E(F q ) be the group of its F q -rational points. We are interested in the set" @default.
- W183871989 created "2016-06-24" @default.
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- W183871989 date "1999-10-01" @default.
- W183871989 modified "2023-10-16" @default.
- W183871989 title "On the Cyclicity of Elliptic Curves over Finite Field Extensions" @default.
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- W183871989 doi "https://doi.org/10.1006/ffta.1999.0246" @default.
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