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- W4310558120 abstract "Binary $m$-sequences are ones with the largest period $n=2^m-1$ among the binary sequences produced by linear shift registers with length $m$. They have a wide range of applications in communication since they have several desirable pseudorandomness such as balance, uniform pattern distribution and ideal (classical) autocorrelation. In his reseach on arithmetic codes, Mandelbaum cite{9Mand} introduces a 2-adic version of classical autocorrelation of binary sequences, called arithmetic autocorrelation. Later, Goresky and Klapper cite{3G1,4G2,5G3,6G4} generalize this notion to nonbinary case and develop several properties of arithmetic autocorrelation related to linear shift registers with carry. Recently, Z. Chen et al. cite{1C1} show an upper bound on arithmetic autocorrelation of binary $m$-sequences and raise a conjecture on absolute value distribution on arithmetic autocorrelation of binary $m$-sequences." @default.
- W4310558120 created "2022-12-12" @default.
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- W4310558120 date "2022-11-30" @default.
- W4310558120 modified "2023-09-26" @default.
- W4310558120 title "Arithmetic autocorrelation distribution of binary $m$-sequences" @default.
- W4310558120 doi "https://doi.org/10.48550/arxiv.2211.16766" @default.
- W4310558120 hasPublicationYear "2022" @default.
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