Autocorrelation values of
a binary sequences with even length

Computer Engineering & Science

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Autocorrelation values of

a binary sequences with even length

XIONG Zhen,YUE Qin

(College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China）

Received:2017-01-14 Revised:2017-05-08 Online:2018-09-25 Published:2018-09-25

Abstract

Abstract:

Let N be the odd number and ZN be the residual class ring of modular N, the paper obtains the main results as follows:
(1) If D is a N,N－12,N－34 difference set over ZN, =ZN\D,the binary sequence {si} of length 2N with a characteristic set C1={0}×D∪{1}×,then its autocorrelation value is fourvalued.If two special points are removed,the sequence is optimal.
(2) If D is a N,N－12,N－54,N－12 almost difference set over ZN, =ZN\D,the binary sequence {si} of length 2N with a characteristic set C1={0}×D∪{1}×,then its autocorrelation value is sixvalued.Finally,this paper also gives the autocorrelation values of a sequence of periodic 4N.

Key words: difference set, almost difference set, autocorrelation function

XIONG Zhen,YUE Qin.

Autocorrelation values of

a binary sequences with even length

[J]. Computer Engineering & Science.

[1]	WU Manman1，XU Jianxin1,2. A shortterm stock prediction model using an improved Elman neural network based on EMD [J]. Computer Engineering & Science, 2019, 41(06): 1119-1127.
[2]	. [J]. J4, 2007, 29(4): 38-41.

Autocorrelation values of

a binary sequences with even length

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