On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers

Yupeng Jiang; Qun Xiong Zheng; Dongdai Lin

doi:10.1007/s11432-015-5472-x

On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers

Yupeng Jiang^*
, Qun Xiong Zheng
, Dongdai Lin

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

Let Z/(p^e) be the integer residue ring modulo p^e with p an odd prime and e ≥ 2. We consider the suniform property of compressing sequences derived from primitive sequences over Z/(p^e). We give necessary and sufficient conditions for two compressing sequences to be s-uniform with α provided that the compressing map is of the form ϕ(x₀, x₁,..,x_e−1) = g(x_e−1) + η(x₀, x₁,.., x_e−2), where g(x_e−1) is a permutation polynomial over Z/(p) and η is an (e − 1)-variable polynomial over Z/(p).

源语言	英语
文章编号	052102
期刊	Science China Information Sciences
卷	60
期	5
DOI	https://doi.org/10.1007/s11432-015-5472-x
出版状态	已出版 - 1 5月 2017
已对外发布	是

访问文件

10.1007/s11432-015-5472-x

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{86293adc1e454068a996cfa196daa2a8,

title = "On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers",

abstract = "Let Z/(pe) be the integer residue ring modulo pe with p an odd prime and e ≥ 2. We consider the suniform property of compressing sequences derived from primitive sequences over Z/(pe). We give necessary and sufficient conditions for two compressing sequences to be s-uniform with α provided that the compressing map is of the form ϕ(x0, x1,..,xe−1) = g(xe−1) + η(x0, x1,.., xe−2), where g(xe−1) is a permutation polynomial over Z/(p) and η is an (e − 1)-variable polynomial over Z/(p).",

keywords = "compressing map, linear recurring sequence, permutation polynomial, primitive sequence, s-uniform",

author = "Yupeng Jiang and Zheng, \{Qun Xiong\} and Dongdai Lin",

note = "Publisher Copyright: {\textcopyright} 2016, Science China Press and Springer-Verlag Berlin Heidelberg.",

year = "2017",

month = may,

day = "1",

doi = "10.1007/s11432-015-5472-x",

language = "英语",

volume = "60",

journal = "Science China Information Sciences",

issn = "1674-733X",

publisher = "Science China Press ",

number = "5",

}

TY - JOUR

T1 - On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers

AU - Jiang, Yupeng

AU - Zheng, Qun Xiong

AU - Lin, Dongdai

PY - 2017/5/1

Y1 - 2017/5/1

N2 - Let Z/(pe) be the integer residue ring modulo pe with p an odd prime and e ≥ 2. We consider the suniform property of compressing sequences derived from primitive sequences over Z/(pe). We give necessary and sufficient conditions for two compressing sequences to be s-uniform with α provided that the compressing map is of the form ϕ(x0, x1,..,xe−1) = g(xe−1) + η(x0, x1,.., xe−2), where g(xe−1) is a permutation polynomial over Z/(p) and η is an (e − 1)-variable polynomial over Z/(p).

AB - Let Z/(pe) be the integer residue ring modulo pe with p an odd prime and e ≥ 2. We consider the suniform property of compressing sequences derived from primitive sequences over Z/(pe). We give necessary and sufficient conditions for two compressing sequences to be s-uniform with α provided that the compressing map is of the form ϕ(x0, x1,..,xe−1) = g(xe−1) + η(x0, x1,.., xe−2), where g(xe−1) is a permutation polynomial over Z/(p) and η is an (e − 1)-variable polynomial over Z/(p).

KW - compressing map

KW - linear recurring sequence

KW - permutation polynomial

KW - primitive sequence

KW - s-uniform

UR - https://www.scopus.com/pages/publications/84988311561

U2 - 10.1007/s11432-015-5472-x

DO - 10.1007/s11432-015-5472-x

M3 - 文章

AN - SCOPUS:84988311561

SN - 1674-733X

VL - 60

JO - Science China Information Sciences

JF - Science China Information Sciences

IS - 5

M1 - 052102

ER -

On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers

摘要

访问文件

其它文件与链接

指纹

引用此