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.
Recommended citation: Gustavo Banegas, Valerie Gilchrist, Anaelle Le Devehat, Benjamin Smith. (2023). "Fast and Frobenius: Rational Isogeny Evaluation over Finite Fields." Preprint.
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