… For simplicity we restrict to the case of elliptic curves. The degree zero divisor class group
of an elliptic curve is isomorphic to the curve itself, so all divisors may be assumed to have the …

… a supersingular isogeny graph defined over the prime field. We provide a deep study and
heuristics on how the supersingular elliptic curves … of the supersingular elliptic curve isogeny …

… on computational supersingular elliptic curve isogenies prob… cryptosystems from supersingular
elliptic curve isogenies. In: … computing isogenies between supersingular elliptic curves. In…

… of elliptic curves, with particular attention to supersingular … In Chapter 2 we review the
general theory of elliptic curves, … Chapter 3 contains a discussion of elliptic curves with complex …

… ηT pairing on supersingular elliptic curves based on the … bit secure pairing on elliptic curves
over characteristic two fields… on supersingular elliptic curves over small characteristic fields. …

… to a product of supersingular elliptic curves. Instead, we propose to use supersingular non-…
Hence we can fix any supersingular elliptic curve 𝐸 and view 𝐴 = 𝐸 × 𝐸 as our “canonical” (…

… In §§4.1–4.3, we study the ±-norm subgroups for supersingular elliptic curves over \({\mathbb
{Q}}_p\). The results are very close to [6, Theorem 1.2(3)], and actually the basic strategy is …

… As already observed in [2], the elliptic curves used in the first construction are supersingular,
… The second construction applies to arbitrary elliptic curves over F, for any odd prime number …

… Compared to Elliptic Curve Digital … a supersingular elliptic curve is simple. In this study, the
authors replace non-degenerate bilinear pairing calculations on a supersingular elliptic curve …