arXiv:2610.36731v1 Announce Type: new Abstract: A refuted 2026 claim of an efficient quantum algorithm for the Dihedral Coset Problem (DCP) motivates this survey of the consequences of a genuine breakthrough. We distinguish a noiseless cyclic coset-state solver, a solver with a prescribed failure exponent, and an extrapolated-state solver.
Beyond LWE: Post-Quantum Assumptions under a Counterfactual Break of the Dihedral Coset Problem
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