Computational Search of Long Skew-symmetric Binary Sequences with High Merit Factors

Keywords: Golay's merit factor, binary sequences, aperiodic autocorrelation sidelobes, skew symmetry

Abstract

In this paper, we present a computational search for best-known merit factors of longer binary sequences with an odd length. Finding low autocorrelation binary sequences with optimal or suboptimal merit factors is a very difficult optimization problem. An improved version of the heuristic algorithm is presented and tackled to search for aperiodic binary sequences with good autocorrelation properties. High-performance computations with the execution of our stochastic algorithm
to search skew-symmetric binary sequences with high merit factors. After experimental work, as results, we present new binary sequences with odd lengths between 201 and 303 that are skew-symmetric and have the merit factor F greater than 8.5. Moreover, an example of a binary sequence having F > 8 has been found for all odd lengths between 201 and 303. The longest binary sequence with F > 9 found to date is of length 255.

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Published
2022-12-20
How to Cite
[1]
Brest, J. and Bošković, B. 2022. Computational Search of Long Skew-symmetric Binary Sequences with High Merit Factors. MENDEL. 28, 2 (Dec. 2022), 17-24. DOI:https://doi.org/10.13164/mendel.2022.2.017.
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Articles