On a generalization of Kantor's likeable planes

Generalizing an idea of Kantor 7], Johnson and Wilke 5] introduced elusive sets of functions over GF(q) to represent translation planes of order q ² that admit a collineation group of order q ² in the linear translation complement and whose kern contains GF(q). In this paper we determine explicitly all elusive sets for q even. We obtain another translation plane of order 8².Deicated to Professors Adriano Barlotti and Luigi Antonio Rosati on the occasion of their 60th birthdayThis research was supported in part by a grant from the M.P.I. (40% funds).