Choosing Parameters for Hybrid Strategy Sample Clauses

Choosing Parameters for Hybrid Strategy i As we explained above, the parameter mv is clear given Ti, and we are left i i with optimizing the value mr. Denote the cost of the overhead to switch curve models by coverhead and the cost of a single isogeny by xxxxxxx(l), then the cost of performing the mr radical isogenies is clearly c = coverhead + mr · xxxxxxx(li) (see i also Lemma 2). Furthermore, given mv, the increase in key space is b = log 2 · (mr + mv)+ 1 v i . · mi +1 So, we can minimize c/b for a given mv (independent of p). This minimizes the number of field operations per bits of security. Notice that for degree 3, the use of 9-isogenies means we get a factor 1 for the cost of single isogenies, as we only need to perform half as many.
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