Longjiang Qu

collaborators

2 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.NT2025

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 $E$ …