Binary Sequences of Even Period with 5-Level Autocorrelation and Their Variations for Optimum Odd Autocorrelation 


Vol. 50,  No. 8, pp. 1207-1216, Aug.  2025
10.7840/kics.2025.50.8.1207


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  Abstract

In this paper, we propose a balanced binary sequence of period 2u for some even values of u with 5-level autocorrelation from a cyclic relative difference set with parameters (u,2,u-1,u/2-1). Furthermore, we identify its half-period as those having an optimum odd autocorrelation, and we found that changing one specific bit of this binary sequence results in an almost perfect sequence. Various relations of these with some previous constructions by others are discussed.

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[IEEE Style]

G. Kim and H. Song, "Binary Sequences of Even Period with 5-Level Autocorrelation and Their Variations for Optimum Odd Autocorrelation," The Journal of Korean Institute of Communications and Information Sciences, vol. 50, no. 8, pp. 1207-1216, 2025. DOI: 10.7840/kics.2025.50.8.1207.

[ACM Style]

Gangsan Kim and Hong-Yeop Song. 2025. Binary Sequences of Even Period with 5-Level Autocorrelation and Their Variations for Optimum Odd Autocorrelation. The Journal of Korean Institute of Communications and Information Sciences, 50, 8, (2025), 1207-1216. DOI: 10.7840/kics.2025.50.8.1207.

[KICS Style]

Gangsan Kim and Hong-Yeop Song, "Binary Sequences of Even Period with 5-Level Autocorrelation and Their Variations for Optimum Odd Autocorrelation," The Journal of Korean Institute of Communications and Information Sciences, vol. 50, no. 8, pp. 1207-1216, 8. 2025. (https://doi.org/10.7840/kics.2025.50.8.1207)
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pISSN : 1226 - 4717
eISSN : 2287 - 3880