Structure of Invertible Linear Transform with Convolution Property in Finite Field

张木想; 肖国镇

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Structure of Invertible Linear Transform with Convolution Property in Finite Field

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- Structure of Invertible Linear Transform with Convolution Property in Finite Field
- Acta Electronica Sinica Issue 4, (1994)
- 作者机构：
  
  西安电子科技大学应用数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.1
- Published：1994
- 稿件说明：
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[1]张木想,肖国镇.有限域上具有卷积性质的可逆线性变换的结构[J].电子学报,1994(04):20-23.

张木想, 肖国镇. Structure of Invertible Linear Transform with Convolution Property in Finite Field[J]. Acta Electronica Sinica, 1994, (4).
[1]张木想,肖国镇.有限域上具有卷积性质的可逆线性变换的结构[J].电子学报,1994(04):20-23. DOI：

张木想, 肖国镇. Structure of Invertible Linear Transform with Convolution Property in Finite Field[J]. Acta Electronica Sinica, 1994, (4). DOI：

摘要

对于从ＧＦ￣ｎ（ｑ）到复数域的所有函数构成的集合（Ｆ￣ｎ），本文研究了（Ｆ￣ｎ）上具有卷积性质的可逆线性变换的结构，得到了这类变换的一般形式。对于从ＧＦ￣ｎ（ｑ）到ＧＦ（ｑ）的所有映射构成的集合（Ｆ￣ｎ），本文证明，（Ｆ￣ｎ）上具有卷积性质的可逆线性变换是不存在的。

Abstract

For（F￣n）

the set of all functions from GF￣n（q） to the complex field

the structure of invertible linear transform with convolution property over（F￣n）is studied. The general form of such transform is presented in this paper. For F（F￣n）

the set of all maps from GF￣n（q） to GF（q）

it is proved that there exists no invertible linear transform with convolution property over F（F￣n）.

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