A note on the crosscorrelation of maximal length FCSR sequences

Tian, Tian; Qi, Wei

doi:10.1007/s10623-008-9238-y

Des. Codes Cryptogr.

2008

DOI: 10.1007/s10623-008-9238-y

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A note on the crosscorrelation of maximal length FCSR sequences

Tian Tian¹,

Wei Qi²

Abstract: In this note it is shown that if the connection integers of two maximal length FCSR sequences have a common prime factor, then any crosscorrelation between them can be converted into some autocorrelation of the sequence with smaller period.

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2022

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Arithmetic correlation of binary half‐ℓ‐sequences

Chen

Edemskiy

Niu

et al. 2022

IET Information Security

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The arithmetic correlations of two binary half‐ℓ‐sequences with connection integer pr, which is an odd prime power, are investigated. Possible values (of the arithmetic correlation) are calculated. In particular, if p ≡ 1 (mod 8), the authors prove that they are zero for non‐trivial shifts, that is, the half‐ℓ‐sequences have ideal arithmetic correlations. If p ≡ −1 (mod 8), an upper bound, which is of order of magnitude pr−1/2 ln p, is derived by using earlier results on the imbalance of half‐ℓ‐sequences with connection integer p studied by Gu and Klapper and later improved by Wang and Tan.

show abstract

Arithmetic correlation of binary half‐ℓ‐sequences

Chen

Edemskiy

Niu

et al. 2022

IET Information Security

View full text Add to dashboard Cite

show abstract

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A note on the crosscorrelation of maximal length FCSR sequences

Abstract: In this note it is shown that if the connection integers of two maximal length FCSR sequences have a common prime factor, then any crosscorrelation between them can be converted into some autocorrelation of the sequence with smaller period.

Cited by 1 publication

References 7 publications

Arithmetic correlation of binary half‐ℓ‐sequences

Arithmetic correlation of binary half‐ℓ‐sequences

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