Distribution of \(0\) and \(1\) in the heighest level of primitive sequences over \(\mathbb{Z}/(2^ e)\)

DOI10.1007/BF02876064zbMath0887.11050MaRDI QIDQ1367220

Jinjun Zhou, Wen-Feng Qi

Publication date: 16 November 1997

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

zbMATH Keywords

linear recurring sequencehighest level sequenceprimitive sequencedistribution of 0 and 1

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Recurrences (11B37) Polynomials over finite fields (11T06)

Related Items (7)

Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\). II ⋮ \(0,1\) distribution in the highest level sequences of primitive sequences over \(Z_{2e}\) ⋮ Distribution of \(0\) and \(1\) in the highest level of primitive sequences over \({\mathbb Z}/(2^ e)\). II. ⋮ Метод тригонометрических сумм для исследования частот $r$-грамм в старших координатных последовательностях линейных рекуррент над кольцом $\mathbb{Z}_{2^n}$ ⋮ Коэффициенты кросс-корреляции разрядных последовательностей равномерных линейных рекуррент над примарным кольцом вычетов ⋮ Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\) ⋮ The nonlinear complexity of level sequences over \(\mathbb Z/(4)\)

Cites Work

• A criterion for primitiveness of polynomials over \(\mathbb{Z}{}/(2^ d)\)
• Binary sequences derived from ML-sequences over rings. I: Periods and minimal polynomials
• Unnamed Item
• Unnamed Item

This page was built for publication: Distribution of \(0\) and \(1\) in the heighest level of primitive sequences over \(\mathbb{Z}/(2^ e)\)