A Note on Constructing SIDH-PoK-based Signatures after Castryck-Decru Attack

ePrint Report: A Note on Constructing SIDH-PoK-based Signatures after Castryck-Decru Attack

Jesús-Javier Chi-Domínguez

This paper centers on the SIDH proof of knowledge work by De Feo, Dobson, Galbraith, and Zobernig, which points out that the Castryck-Decru attack does not apply to their first 3-special soundness construction.
This work analyzes and explicitly describes an optimized recoverable Sigma protocol based on that 3-special soundness SIDH-PoK construction.
We also discuss the impact of moving to B-SIDH and G2SIDH setups in terms of sizes. …

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