Colleague Aiden Bruen suggests that the following may be relevant. R. (89f:51059) Fuji-Hara, R.(J-TSUKS-SO); Vanstone, S. A.(3-WTRL-B) Hyperplane skew resolutions and their applications. J. Combin. Theory Ser. A 47 (1988), no. 1, 134--144. 51E30 (05B25) References: 0 Reference Citations: 0 Review Citations: 0 A resolution class of an affine geometry $\roman{AG}(n,q)$ is a set of lines which partitions the points; a resolution class $S$ is called a hyperplane skew resolution class if the points of the hyperplane $H$ at infinity which are not incident with any line of $S$ are the points of an $(n-2)$-dimensional subspace $\Gamma(H,S)$. A resolution of $\roman{AG}(n,q)$ is a partition of the lines into resolution classes; a hyperplane skew resolution is a resolution with the following properties: (i) all resolution classes are hyperplane skew; (ii) if $S$ and $S'$ are distinct classes, then $\Gamma(H,S)\not=\Gamma(H,S')$. The main purpose of the paper under review is to construct such resolutions; in fact, the authors construct infinite classes of hyperplane skew resolutions. Moreover, the authors point out the connection to the packing problem in projective spaces. Reviewed by Albrecht Beutelspacher