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New constructions of constant dimension subspace codes with large sizes

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成果类型:
期刊论文
作者:
Li, Yun;Liu, Hongwei;Mesnager, Sihem
通讯作者:
Liu, HW
作者机构:
[Liu, Hongwei; Li, Yun] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Mesnager, Sihem] Univ Paris VIII, Dept Math, LAGA, F-91120 Paris, France.
[Mesnager, Sihem] Univ Paris XIII, CNRS, UMR 7539, F-91120 Palaiseau, France.
[Mesnager, Sihem] Telecom ParisTech, Palaiseau, France.
通讯机构:
[Liu, HW ] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Sidon space;Subspace code;Cyclic constant dimension code
期刊:
DESIGNS CODES AND CRYPTOGRAPHY
ISSN:
0925-1022
年:
2024
页码:
1-15
基金类别:
National Natural Science Foundation of China [12271199, 12171191]; National Natural Science Foundation of China [30106220482]; Fundamental Research Funds for the Central Universities [ANR-21-CE39-0009]; French Agence Nationale de la Recherche through ANR algeBrA
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
Subspace codes have important applications in random network coding. It is a classical problem to construct subspace codes where both their size and their minimum distance are as large as possible. In particular, cyclic constant dimension subspace codes have additional properties which can be used to make encoding and decoding more efficient. In this paper, we construct large cyclic constant dimension subspace codes with minimum distances 2k-2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrs...

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