We denote by
mr,q(
s) the minimum value of
f for which an {
f,
s £ Öq-1s \le {\sqrt q}-1
) and that
mr,q(
s)
r-1+
s1+
q for 1
s q – 1,~
q 3,~
r 4. The nonexistence of some [
n,
k,
n+
s–
qk-2]
q codes attaining the Griesmer bound is given as an application.
Keywords minihypers - projective spaces - linear codes - Griesmer bound
D. Jungnickel
AMS classification: 94B27, 94B05, 51E22, 51E21