Parameters of Hulls of Primitive BCH Codes of Length q3 – 1

Let
C
_(q,n,δ)
be the primitive BCH code over
F
_q
of length n=q
³
-1 with designed distance δ, where
F
_q
is the finite field of order q. In this letter, we investigate the parameters of the codes
C
_{(q, n, δ)}
and their hulls for 2 ≤ δ ≤ n. We also present a sufficient and necessary condition on the designed distance such that the hull has the largest dimension.