6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.NT2021
Supersingular -invariants and the Class Number of
Guanju Xiao, Lixia Luo, Yingpu Deng
For a prime , let be the discriminant of an imaginary quadratic order with . We research the solutions of the class polynomial mo…
math.NT2020
On two problems about isogenies of elliptic curves over finite fields
Lixia Luo, Guanju Xiao, Yingpu Deng
Isogenies occur throughout the theory of elliptic curves. Recently, the cryptographic protocols based on isogenies are considered as candidates of quantum-resistant cryptographic p…
math.NT2019★ 6 cited
Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves
Guanju Xiao, Lixia Luo, Yingpu Deng
Loops and cycles play an important role in computing endomorphism rings of supersingular elliptic curves and related cryptosystems. For a supersingular elliptic curve defined o…