Sharing the Path: A Threshold Scheme from Isogenies and Error Correcting Codes

Mohamadou Sall; M. Anwar Hasan

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arXiv · 2411.18844

Sharing the Path: A Threshold Scheme from Isogenies and Error Correcting Codes

Mohamadou Sall·M. Anwar Hasan

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Abstract

In 2022, a prominent supersingular isogeny-based cryptographic scheme, namely SIDH, was compromised by a key recovery attack. However, this attack does not undermine the isogeny path problem, which remains central to the security of isogeny-based cryptography. Following the attacks by Castryck and Decru, as well as Maino and Martindale, Robert gave a mature and polynomial-time algorithm that transforms the SIDH key recovery attack into a valuable cryptographic tool. In this paper, we combine this tool with advanced encoding techniques to construct a novel threshold scheme.

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Mohamadou Sall, M. Anwar Hasan. 2024-11-28. Sharing the Path: A Threshold Scheme from Isogenies and Error Correcting Codes. https://arxiv.org/abs/2411.18844

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