On the Non-Existence of Certain Classes of Perfect $p$ -Ary Sequences and Perfect Almost $p$ -Ary Sequences

We obtain new non-existence results of perfect p-ary sequences with period n (called type [p, n]). The first case contains a class with type [p m 5 (mod 8), p
^a
qn']. The second case contains five types [p m 3 (mod 4), p
^a
q
^l
n'] for certain p, q, and l. Moreover, we also obtain similar nonexistence results of perfect almost p-ary sequences.