\(0,1\) distribution in the highest level sequences of primitive sequences over \(Z_{2e}\)

DOI10.1007/BF02884023zbMath1215.11011OpenAlexW2064784029MaRDI QIDQ547821

Shuqin Fan, Wenbao Han

Publication date: 25 June 2011

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02884023

zbMATH Keywords

Galois ringexponential sum over Galois ringhighest level sequenceprimitive sequence

Mathematics Subject Classification ID

Sequences (mod (m)) (11B50)

Cites Work

• Unnamed Item
• Binary sequences derived from ML-sequences over rings. I: Periods and minimal polynomials
• Distribution of \(0\) and \(1\) in the heighest level of primitive sequences over \(\mathbb{Z}/(2^ e)\)
• Construction of noise-resistant codes by means of linear recurrences over Galois rings
• 4-phase sequences with near-optimum correlation properties
• Distribution of elements on cycles of linear recurrent sequences over Galois rings
• An upper bound for Weil exponential sums over Galois rings and applications
• Distribution of \(0\) and \(1\) in the highest level of primitive sequences over \({\mathbb Z}/(2^ e)\). II.

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