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- W2280397879 abstract "Elliptic curves over a finite field Fq with j-invariant 0 or 1728, both supersingular and ordinary, whose embedding degree k is low are studied. In the ordinary case we give conditions characterizing such elliptic curves with fixed embedding degree with respect to a subgroup of prime order ℓ. For k=1,2, these conditions give parameterizations of q in terms of ℓ and two integers m, n. We show several examples of families with infinitely many curves. Similar parameterizations for k≥3 need a fixed kth root of the unity in the underlying field. Moreover, when the elliptic curve admits distortion maps, an example is provided." @default.
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- W2280397879 date "2015-09-16" @default.
- W2280397879 modified "2023-10-06" @default.
- W2280397879 title "Elliptic curves withj= 0,1728 and low embedding degree" @default.
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- W2280397879 doi "https://doi.org/10.1080/00207160.2015.1083556" @default.
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