Characterization results on weighted minihypers and on linear codes meeting the griesmer bound

Abstract

We present characterization results on weighted minihypers. We prove the weighted version of the original results of Hamada, Helleseth, and Maekawa. Following from the equivalence between minihypers and linear codes meeting the Griesmer bound, these characterization results are equivalent to characterization results on linear codes meeting the Griesmer bound. © 2008 AIMS-SDU.