Spread codes from Abelian non-cyclic groups

Joan‐Josep Climent

doi:10.1007/s10623-025-01786-7

2026-02-02

PRE

Joan‐Josep Climent

Verónica Requena *

Xaro Soler-Escrivà

DOI：10.1007/s10623-025-01786-7

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摘要

En 中文

给定有限域Fq，对于素数幂q，本文提出了一种构造Fqn的散布的方法。具体来说，通过域缩减技术，我们将使用阿贝尔但非循环群的作用来构造著名的Fqn的德萨日散布。首先，我们使用该群构造具有最大距离的轨道码族，然后完成每个码以实现整个空间的德萨日散布，这将因此具有与阿贝尔且非循环群相关联的新轨道结构。

Keyword:

Network coding

Subspace codes

Grassmannian

Spreads

Group action

General linear group

期刊

Designs Codes and Cryptography

IF:

1.2

论文数:

124

被引数:

3.2K

机构

Universitat d'Alacant

学者数:

629

论文数: 328

被引数: 0

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