An Extension Method to Construct M-Ary Sequences of Period 4N with Low Autocorrelation

Xiaoping SHI
Tongjiang YAN
Xinmei HUANG

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E104-A    No.1    pp.332-335
Publication Date: 2021/01/01
Publicized: 2020/07/17
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2020EAL2052
Type of Manuscript: LETTER
Category: Communication Theory and Signals
M-ary sequences,  autocorrelation,  interleaved technique,  

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Pseudorandom sequences with low autocorrelation magnitude play important roles in various environments. Let N be a prime with N=Mf+1, where M and f are positive integers. A new method to construct M-sequences of period 4N is given. We show that these new sequences have low autocorrelation magnitude.