Characterization results on arbitrary non-weighted minihypers and on linear codes meeting the Griesmer bound

摘要

We present characterization results on non-weighted minihypers. For minihypers in PG(k - 1, q), q not a square, we improve greatly the results of Hamada, Helleseth. and Maekawa, and of Ferret and Storme. The largest improvements are obtained for q prime.