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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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).

Original language	English
Article number	052102
Journal	Science China Information Sciences
Volume	60
Issue number	5
DOIs	https://doi.org/10.1007/s11432-015-5472-x
State	Published - 1 May 2017
Externally published	Yes

Keywords

compressing map
linear recurring sequence
permutation polynomial
primitive sequence
s-uniform

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10.1007/s11432-015-5472-x

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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.",

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

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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

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Keywords

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