Algorithm for Evaluation of Hybrid Strategy Sample Clauses

Algorithm for Evaluation of Hybrid Strategy i Evaluating the hybrid strategy requires an improved evaluation algorithm, as we need to re-use the ‘left-over’ torsion point at the right moment of a ‘traditional’ CSIDH evaluation. We achieve this by first performing the CSIDH evaluation for all i ∈ V and decreasing mv by 1 if a V´elu li-isogeny is performed. If mv i becomes zero, we remove i from V , so that the next point of order li initiates the ‘chain’ of radical isogenies of length mr. After this, we remove i from R too. Algorithm 1. High-level evaluation of hybrid strategy for radical isogenies Output: B ∈ Fp such that Input: A ∈ Fp, a key (e1,. . ., en), a set V (V´elu isog.) and a set R (radical isog.). [li]ei EA = EB 1: while mi /= 0 for i ∈ V ∪ R do
Sample 1
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