2024/02/02 by Maria Corte-Real Santos, Santos, Maria Corte-Real, Craig Costello +3
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2402.01223
openalex publication_date 2024/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an alternative derivation of (N,N)-isogenies between fast Kummer surfaces which complements existing works based on the theory oftheta functions. We use this framework to produce explicit formulae for the case of N = 3, and show that the resulting algorithms are more efficient than all prior (3, 3)-isogeny algorithms.