Emergent Mind
Autocorrelation of a class of quaternary sequences of period $2p^m$
(2002.00375)
Published Feb 2, 2020
in
cs.IT
,
math.IT
,
and
math.NT
Abstract
Sequences with good randomness properties are quite important for stream ciphers. In this paper, a new class of quaternary sequences is constructed by using generalized cyclotomic classes of $\mathbb{Z}_{2pm}$ $(m\geq1)$. The exact values of autocorrelation of these sequences are determined based on cyclotomic numbers of order $2$ with respect to $pm$. Results show that the presented sequences have the autocorrelations with at most $4$ values.
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