Longjiang Qu

activity

20232025

most citedEndomorphism Rings of Supersingular Elliptic Curves and Ternary Quadratic Forms

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

cs.CR2025

Choosing Coordinate Forms for Solving ECDLP Using Shor's Algorithm

Yan Huang, Fangguo Zhang, Fei Gao +2

Shor's algorithm is well-known for its capability to address the elliptic curve discrete logarithm problem (ECDLP) in polynomial time. The enhancement of its quantum resources cont…

math.NT2024★ 1 cited

Endomorphism Rings of Supersingular Elliptic Curves and Ternary Quadratic Forms

Guanju Xiao, Zijian Zhou, Longjiang Qu

Let $c < 3 p /16$ be a prime or $c = 1$ . Let $E$ be a $Z [- c p]$ -oriented supersingular elliptic curve defined over $F_{p^{2}}$ . There exists a $c$ -isogeny from $E$ …

math.NT2023★ 1 cited

Oriented Supersingular Elliptic Curves and Eichler Orders

Guanju Xiao, Zijian Zhou, Longjiang Qu

Let $p > 3$ be a prime and $E$ be a supersingular elliptic curve defined over $F_{p^{2}}$ . Let $c$ be a prime with $c < 3 p /16$ and $G$ be a subgroup of $E [c]$ of order $c$ . Th…