Fast and Frobenius: Rational Isogeny Evaluation over Finite Fields

Published in Preprint / Work in Progress, 2023

This paper presents a new method for rational isogeny evaluation over finite fields that leverages Frobenius structures to improve computational efficiency.

Highlights:

  • Combines fast algorithms with Frobenius endomorphisms to accelerate isogeny computations
  • Optimizes arithmetic over large characteristic fields
  • Supports cryptographic protocols requiring repeated isogeny evaluations

The proposed approach is particularly suited for hardware-efficient isogeny-based cryptographic schemes and symbolic computation settings.