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Linear complexity of binary sequences with optimal autocorrelation magnitude of length 4N

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Published under licence by IOP Publishing Ltd
, , Citation V A Edemskiy and A B Minin 2019 J. Phys.: Conf. Ser. 1352 012013 DOI 10.1088/1742-6596/1352/1/012013

1742-6596/1352/1/012013

Abstract

In this paper, we study the linear complexity of series of binary sequences with optimal autocorrelation magnitude of length 4N. These sequences are obtained from almost-perfect binary sequences and binary sequences with optimal autocorrelation of length N. The construction of these sequences were presented E.I. Krengel and P.V. Ivanov. We show that considered sequences have the high linear complexity. Also we derive the 1-error linear complexity of these sequences.

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10.1088/1742-6596/1352/1/012013