2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138375We study the structure of symplectic quandles, quandles which are also R-modules equipped with an antisymmetric bilinear form. We show that every finite dimensional symplectic quandle over a finite field F or arbitrary field F of characteristic other than 2 is a disjoint union of a trivial quandle and a connected quandle. We use the module structure of a symplectic quandle over a finite ring to refine and strengthen the quandle counting invariant.11 pages. v2: typo corrections suggested by referee. To appear in Osaka J. MathQuantum AlgebraGeometric Topology176D99, 57M27, 55M25text