配对友好的椭圆曲线的启发式算法
Heuristics on pairing-friendly elliptic curves
摘要:
本文给出了一个启发式渐近公式$x\to \infty$,用于求解具有固定嵌入度$k\geq 3$,固定判别式,ρ值由固定$ρ_0$限定使得$1<ρ_0<2$,素数子群阶至多为$x$的配对友好椭圆曲线的等距类的个数.
英文摘要:
We present a heuristic asymptotic formula as $x\to \infty$ for the number of isogeny classes of pairing-friendly elliptic curves with fixed embedding degree $k\geq 3$, with fixed discriminant, with rho-value bounded by a fixed $ρ_0$ such that $1<ρ_0<2$, and with prime subgroup order at most $x$.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。