[Resource Topic] 2022/1667: Applying Castryck-Decru Attack on the Masked Torsion Point Images SIDH variant

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Title:
Applying Castryck-Decru Attack on the Masked Torsion Point Images SIDH variant

Authors: Jesús-Javier Chi-Domínguez

Abstract:

This paper illustrates that masking the torsion point images does not guarantee Castryck-Decru attack does not apply.
Our experiments over SIDH primes hint that any square root concerning the Weil pairing on the masked public key helps to recover Bob’s private key via the Castryck-Decru attack.

ePrint: https://eprint.iacr.org/2022/1667

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