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On the Non-existence of certain classes of perfect p-ary sequences and perfect almost p-ary sequences

Published 17 Dec 2016 in cs.IT, math.IT, and math.NT | (1612.05682v1)

Abstract: We obtain new non-existence results of perfect p-ary sequences with period n (called type $[p, n]$). The first case is a class with type [p\equiv5\pmod 8,paqn']. The second case contains five types [p\equiv3\pmod 4,paqln'] for certain $p, q$ and $l$. Moreover, we also have similar non-existence results for perfect almost p-ary sequences.

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