The 4-adic complexity of quaternary sequences with low autocorrelation and high linear complexity

Recently, Jiang et al. proposed several new classes of quaternary sequences with low autocorrelation and high linear complexity by using the inverse Gray mapping (JAMC, 69 (2023): 689-706). In this paper, we estimate the 4-adic complexity of these quaternary sequences. Our results show that these sequences have high 4-adic complexity to resist the attack of the rational approximation algorithm.

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Publication Details

Journal
Advances in Mathematics of Communications
Published
2024-11-06
DOI
https://doi.org/10.3934/amc.2024044
Citations
2
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.69
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article

The 4-adic complexity of quaternary sequences with low autocorrelation and high linear complexity

Pinhui Ke, Feifei Yan, Lingmei Xiao
2 citations
Advances in Mathematics of Communications
Coding theory and cryptography
0.69
article

The 4-adic complexity of quaternary sequences with low autocorrelation and high linear complexity

Pinhui Ke, Feifei Yan, Lingmei Xiao
article en
2 citations

Abstract

Recently, Jiang et al. proposed several new classes of quaternary sequences with low autocorrelation and high linear complexity by using the inverse Gray mapping (JAMC, 69 (2023): 689-706). In this paper, we estimate the 4-adic complexity of these quaternary sequences. Our results show that these sequences have high 4-adic complexity to resist the attack of the rational approximation algorithm.

Advances in Mathematics of CommunicationsVol. 19(4)
Fujian Normal University (CN), Putian University (CN)
Openalex Percentile: Top 23%
Coding theory and cryptography
0.69
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