A New Class of Nonlinear Pseudorandom Sequences

Lin Xuduan; Cai Changnian

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A New Class of Nonlinear Pseudorandom Sequences

更新时间：2025-12-08

- A New Class of Nonlinear Pseudorandom Sequences
- Acta Electronica Sinica Issue 3, Pages: 9-15(1991)
- 作者机构：
  
  北京邮电学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1991
- 稿件说明：
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[1]林须端,蔡长年.一类非线性伪随机序列的研究[J].电子学报,1991(03):9-15.

Lin Xuduan, Cai Changnian. A New Class of Nonlinear Pseudorandom Sequences[J]. Acta Electronica Sinica, 1991, (3): 9-15.
[1]林须端,蔡长年.一类非线性伪随机序列的研究[J].电子学报,1991(03):9-15. DOI：

Lin Xuduan, Cai Changnian. A New Class of Nonlinear Pseudorandom Sequences[J]. Acta Electronica Sinica, 1991, (3): 9-15. DOI：

摘要

本文用迹函数及m—序列的结构特性构造并研究了一类GF（q

）上的非线性伪随机序列。这类序列的取值分布、游程及自相关函数均与m—序列一致

且满足移位相加特性

但这类新序列的数量是m—序列的[multiply from f=1 to （m-1）（（q

-q

）-m）]/m倍。

Abstract

Based on the structure of m-sequence and the trace representation

a newclass of nonlinear pseudorandom sequences over GF（qm） is constructed and some properties of the sequences are investigated. This class of sequences possesses the same value-distribution

ru-nproperty

autocorrelation function and shift-and-add property as m-sequences. The number ofthe new class of nonlinear sequences is /m times as many as that of m-sequences with the same period.

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