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On three conjectures of binary sequences with low odd-periodic autocorrelation

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Abstract

This paper provides a complete answer to three conjectures of Parker about low odd-periodic autocorrelation of sixteen cyclotomic binary sequences in Parker (2001), and also gives new binary sequences with low odd-periodic autocorrelation.

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Authors and Affiliations

  1. Department of Informatics, University of Bergen, Bergen, Norway

    Chunlei Li

  2. School of Mathematics, Southwest Jiaotong University, Chengdu, People’s Republic of China

    Yang Yang

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  1. Chunlei Li
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  2. Yang Yang
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Correspondence to Yang Yang.

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This article is part of the Topical Collection on Special Issue on Sequences and Their Applications

The work of C. Li was supported by the research project (No. 720025) from UH-nett Vest in Norway, the Research Council of Norway (No. 2477421O70) and the National Natural Science Foundation of China under Grant (No. 61771021). The work of Y. Yang was supported by the National Science Foundation of China under grants 61771016 and 61661146003, and the Talent Introduction Foundation Project of Kunming University of Science and Technology under Grant KKSY201603016.

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Li, C., Yang, Y. On three conjectures of binary sequences with low odd-periodic autocorrelation. Cryptogr. Commun. 12, 427–442 (2020). https://doi.org/10.1007/s12095-019-00393-3

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  • DOI: https://doi.org/10.1007/s12095-019-00393-3

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