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A symplectic spread of a 2n-dimensional vector space V over GFðqÞ is a set of q n þ 1 totally isotropic n-subspaces inducing a partition of the points of the underlying projective space. The corresponding translation plane is called symplectic. We prove that a translation plane of even order is symplectic if and only if it admits a completely regular line oval. Also, a geometric characterization of completely regular line ovals, related to certain symmetric designs S1ð2d Þ, is given. These results give a complete solution to a problem set by W. M.

Symplectic translation planes and line ovals