Replication Data for: Orient Express: Using Frobenius to Express Oriented Isogenies

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Provided by Catholic University of Leuven

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Dataset information

Catalog

Catholic University of Leuven catalog

Country of origin

Belgium

Updated

2025.12.16 12:44

Created

2025.12.16

Available languages

English

Keywords

isogenies, SageMath, endomorphism, Frobenius, cryptography

Datasource

Official portal for European data link

Quality scoring

Dataset description

We describe a new cryptographic group action built from isogenies, using the Frobenius endomorphism as an accelerator. This dataset consists of SageMath code providing a proof-of-concept implementation of two instantiations of this group action: the "square case" and the "square-free case". The main goal of the code is to help convince the reader that the algorithm really works in practice, and to allow for comparison with similar algorithms. E.g., using this implementation, we have produced the runtimes reported in Table 4 and Table 5.

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190K+

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countries and EU institutions

2019

API-first since

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for evaluation and prototypes

SLA

history and push on production APIs

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