Work

Constructing elliptic curves with given weil pairing

Year: 2018

Type: article

Abstract: "We give a parametrization of the set of isomorphism classses of triples (E, P,Q) where E is an elliptic curve and P, Q are rational l-torsion points with given Weil pairing, when l=5,7. When the base field is finite, we also investigate the cardinality of this set."

Source: NORA - Norwegian Open Research Archives

Author: Hugues Verdure

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Universitetet i Tromsø, Japan Society for the Promotion of Science

Award: On security of pairing based elliptic curve cryptosystems in view of number theory

OpenAlex ID: W2800417748

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