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We give a 1-dimensional family of classical and supersingular Enriquessurfaces in characteristic 2 covered by the supersingular K3 surface with Artininvariant 1. Moreover we show that there exist 30 nonsingular rational curvesand ten non-effective (-2)-divisors on these Enriques surfaces whose reflectiongroup is of finite index in the orthogonal group of the Neron-Severi latticemodulo torsion.

A 1-dimensional family of Enriques surfaces in characteristic 2 covered by the supersingular K3 surface with Artin invariant 1