  A linear $ [n,k]_q $ code $ C $ is said to be a full weight spectrum (FWS)
code if there exist codewords of each nonzero weight less than or equal to $ n
$. In this brief communication we determine necessary and sufficient conditions
for the existence of linear $ [n,k]_q $ full weight spectrum (FWS) codes.
Central to our approach is the geometric view of linear codes, whereby columns
of a generator matrix correspond to points in $ PG(k-1,q) $.
