1 citations · 1 across the 5 of their papers we have counts for
5 papers
Detecting split surfaces, RM surfaces, and minimum walks on isogeny graphs
Eda Kırımlı, Gaurish Korpal
We study the detectability of split surfaces in isogeny graphs of principally polarized superspecial abelian surfaces, a question relevant to the security analysis of dimension-…
Cycles of supersingular elliptic curves for pairing-based proof systems
Craig Costello, Gaurish Korpal
We give new constructions of cycles of pairing-friendly elliptic curves with a view towards unbounded recursive pairing-based proof systems. Unlike the only known prior cycle of el…
On pairs of primes with small order reciprocity
Craig Costello, Gaurish Korpal
We give a sieving algorithm for finding pairs of primes with small multiplicative orders modulo each other. This problem is a necessary condition for obtaining constructions of …
Refined Humbert Invariants in Supersingular Isogeny Degree Analysis
Eda Kırımlı, Gaurish Korpal
We focus on refined Humbert invariants of principally polarized superspecial abelian surfaces, introduced by Kani in 1994. The main contributions are to enumerate principal polariz…
Gross lattices of supersingular elliptic curves
Chenfeng He, Gaurish Korpal, Ha T. N. Tran +1
Let be a prime, be a supersingular elliptic curve defined over , and be its (geometric) endomorphism ring. Earlier results of Chevyrev-Gal…