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Endomorphism rings of supersingular elliptic curves over $\mathbb{F}_p$

open access: yes, 2019
Let $p>3$ be a fixed prime. For a supersingular elliptic curve $E$ over $\mathbb{F}_p$ with $j$-invariant $j(E)\in \mathbb{F}_p\backslash\{0, 1728\}$, it is well known that the Frobenius map $ =((x,y)\mapsto (x^p, y^p))\in \mathrm{End}(E)$ satisfies $ ^2=-p$. A result of Ibukiyama tells us that $\mathrm{End}(E)$ is a maximal order in $\mathrm{End}(
Li, Songsong, Ouyang, Yi, Xu, Zheng
openaire   +3 more sources

Efficient Authentication Scheme for 5G-Enabled Vehicular Networks Using Fog Computing. [PDF]

open access: yesSensors (Basel), 2023
Al-Mekhlafi ZG   +8 more
europepmc   +1 more source

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