On the third depth distribution and the period of sequence {（E-1）～m（s）}<sub>m≥0</sub> over F<sub>2</sub>

ZENG Min1～3; LUO Yuan1

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On the third depth distribution and the period of sequence {（E-1）～m（s）}_m≥0 over F₂

更新时间：2024-10-14

- On the third depth distribution and the period of sequence {（E-1）～m（s）}_m≥0 over F₂
- Issue 4, Pages: 51-56(2008)
- 作者机构：
  
  1. 上海交通大学计算机科学与工程系
  2. 上海交通大学计算机科学与工程系上海200030 上海市房地产行业教育中心
  3. 上海大学房地产学院,上海,201702
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN918
- Published：2008
- 稿件说明：
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ZENG Min1～3, LUO Yuan1. On the third depth distribution and the period of sequence {（E-1）～m（s）}_m≥0 over F₂[J]. 2008, (4): 51-56.
DOI：

ZENG Min1～3, LUO Yuan1. On the third depth distribution and the period of sequence {（E-1）～m（s）}_m≥0 over F₂[J]. 2008, (4): 51-56. DOI：

摘要

向量复杂程度的一个研究角度是向量的深度。将Etzion和Roth提出的向量深度归纳为3类向量深度

通过有限长序列的周期与第三类向量深度之间的关系

给出了F2上任意n维向量空间的第三类向量深度的分布

并且利用向量算子的矩阵描述

从序列{(E-1)m(s)}m≥0终归周期的角度

进一步考察了第三类向量深度为∞的向量的性质。

Abstract

The complexity of a vector can be investigated in terms of three kinds of depths

which were introduced by Etzion and Roth. The third depth distribution of F2 n was provided according to the relationship of period and the third depth of finite sequences. Then the ultimate period of sequence {（E-1）m（s）}m≥0 was considered

when the third depth of the vector s is ∞.

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On the third depth distribution and the period of sequence {（E-1）～m（s）}m≥0 over F2

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On the third depth distribution and the period of sequence {（E-1）～m（s）}_m≥0 over F₂