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Linear complexity problems of level sequences of Euler quotients and their related binary sequences

Linear complexity problems of level sequences of Euler quotients and their related binary sequences

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2918584169

Linear complexity problems of level sequences of Euler quotients and their related binary sequences

About this item

Full title

Linear complexity problems of level sequences of Euler quotients and their related binary sequences

Publisher

Beijing: Science China Press

Journal title

Science China. Information sciences, 2016-03, Vol.59 (3), p.71-82, Article 32106

Language

English

Formats

Publication information

Publisher

Beijing: Science China Press

More information

Scope and Contents

Contents

The Euler quotient modulo an odd-prime power pr (r 〉 1) can be uniquely decomposed as a p-adic number of the form (u(p- 1)Pr- 1 _ 1)/pr ≡- ao (u) + a1 (u)p +... +at- 1 (u)Pr- 1 (mod pr), gcd(u, p) = 1, where 0 ≤ aj(u) 〈 p for 0 ≤ j≤r - 1 and we set all aj(u) = 0 if gcd(u,p) 〉 1. We firstly study certain arithmetic properties of the level sequences...

Alternative Titles

Full title

Linear complexity problems of level sequences of Euler quotients and their related binary sequences

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2918584169

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2918584169

Other Identifiers

ISSN

1674-733X

E-ISSN

1869-1919

DOI

10.1007/s11432-015-5305-y

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