Generalized Linkage Construction for Constant-Dimension Codes

被引：20
|
作者：
Heinlein, Daniel [1 ]
机构：
[1] Aalto Univ, Dept Commun & Networking, Aalto 00076, Finland
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2021年 / 67卷 / 02期
关键词：
Couplings; Upper bound; Extraterrestrial measurements; Encoding; Matrix decomposition; Manuals; Linear matrix inequalities; Finite projective spaces; constant-dimension codes; subspace codes; subspace-distance; rank-metric codes; maximum rank-distance codes; rank distance; lifted maximum rank-distance bound; combinatorics;
D O I：
10.1109/TIT.2020.3038272
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A constant-dimension code (CDC) is a set of subspaces of constant dimension in a common vector space with upper bounded pairwise intersection. We improve and generalize two constructions for CDCs, the improved linkage construction and the parallel linkage construction, to the generalized linkage construction and the multiblock generalized linkage construction which in turn yield many improved lower bounds for the cardinalities of CDCs; a quantity not known in general.
引用
收藏
页码：705 / 715
页数：11
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