Definition ∞ The SIDH assumption refers to the computational difficulty assumption underpinning the Supersingular Isogeny Diffie-Hellman key exchange protocol. This assumption posits that computing isogenies between supersingular elliptic curves, given certain information, is computationally unfeasible for classical and quantum computers. It forms the security foundation for SIDH, a leading contender for post-quantum key agreement. The strength of this assumption determines the protocol’s resistance to cryptographic attacks.
Context ∞ The SIDH assumption is a central topic in post-quantum cryptography, as researchers evaluate its robustness against various attack vectors, including those from quantum algorithms. Recent cryptanalytic advancements have challenged some variants of SIDH, leading to ongoing research into its security parameters and alternative isogeny-based constructions. The long-term viability of SIDH-based systems depends on the enduring difficulty of this mathematical problem.
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