Security Analysis and Key Size Sample Clauses

Security Analysis and Key Size. Before the security of k-SIDH can be properly analyzed we need the following simple result. As before, let l = lA denote the prime defining ▇▇▇▇▇’s torsion subgroup. Recall that an lm-degree isogeny can be expressed uniquely as a com- position of m l-degree isogenies. The following result tells us that, given the shared j-invariant and ▇▇▇▇▇’s public key, Bob is unable to determine the final l-isogeny in the composition of ▇▇▇▇▇’s isogeny (under the SSI assumption).
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Security Analysis and Key Size. Before the security of k-SIDH can be properly analyzed we need the following simple result. As before, let l = lA denote the prime defining Alice’s torsion subgroup. Recall that an lm-degree isogeny can be expressed uniquely as a com- position of m l-degree isogenies. The following result tells us that, given the shared j-invariant and Alice’s public key, ▇▇▇ is unable to determine the final l-isogeny in the composition of Alice’s isogeny (under the SSI assumption).
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