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An Effective Lower Bound on the Number of Orientable Supersingular Elliptic Curves

open access: yes
In this article, we prove a generic lower bound on the number of O-orientable supersingular curves over F p 2 , i.e curves that admit an embedding of the quadratic order O inside their endomorphism ring. Prior to this work, the only known effective lower-bound is restricted to small discriminants.
openaire   +2 more sources

Report on Pairing-based Cryptography. [PDF]

open access: yesJ Res Natl Inst Stand Technol, 2015
Moody D   +5 more
europepmc   +1 more source

Evaluation of Modular Polynomials from Supersingular Elliptic Curves [PDF]

open access: green
Maria Corte-Real Santos   +4 more
openalex   +1 more source

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