On a particular class of minihypers and its applications. I. The result for general q
This article is the first in a series of three articles that discuss a particular class of minihypers and its applications. Proving that for small delta and mu < N, a {&delta;v(&mu;+1) &delta;v(&mu;); N, q} -minihyper consists of a sum of &delta; &mu;-spaces, we show that the excess points of an s-cover with excess &delta; of PG(N, q), (s + 1) | (N + 1), form a sum of &delta; s-spaces, and that no maximal partial s-spreads with deficiency &delta; of PG(N, q), (s + 1) | (N + 1), exist. The case q square will be studied in greater detail in [7] and further applications of these classification results on this class of minihypers will be published in [8].
minihypers blocking sets covers partial spreads