M-SIDH and MD-SIDH: countering SIDH attacks by masking information

ePrint Report: M-SIDH and MD-SIDH: countering SIDH attacks by masking information

Tako Boris Fouotsa, Tomoki Moriya, Christophe Petit

The SIDH protocol is an isogeny-based key exchange protocol using supersingular isogenies, designed by Jao and De Feo in 2011.
The protocol underlies the SIKE algorithm which advanced to the fourth round of NIST's post-quantum standardization project in May 2022.
The algorithm was considered very promising: indeed the most significant attacks against SIDH were meet-in-the-middle variants with exponential complexity, and torsion point …

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