5 papers
Optimal Ferrers Diagram Rank-Metric Codes: New Constructions, Diagram Combinations, and Applications to Constant-Dimension Subspace Codes
Fang-Wei Fu, Xuan Gao, Sihem Mesnager +1
In this paper, we present three new constructions of optimal FDRM codes, all derived from subcodes of maximum rank-distance (MRD) codes. The first construction (Theorem~\ref{theo5}…
Multilevel inserting constructions for constant dimension subspace codes
Gang Wang, Xuan Gao, Sihem Mesnager +1
Subspace codes, especially constant dimension subspace codes (CDCs), represent an intriguing domain that can be used to conduct basic coding theory investigations. They have receiv…
New constant-dimension subspace codes from parallel cosets of optimal Ferrers diagram rank-metric codes and multilevel inserting constructions
Gang Wang, Hong-Yang Yao, Fang-Wei Fu
Constant-dimension subspace codes (CDCs), a special class of subspace codes, have attracted significant attention due to their applications in network coding. A fundamental researc…
Generalized bilateral multilevel construction for constant dimension codes from parallel mixed dimension construction
Han Li, Fang-Wei Fu
Constant dimension codes (CDCs), as special subspace codes, have received extensive attention due to their applications in random network coding. The basic problem of CDCs is to de…
New Constant Dimension Codes From the Inserting Mixed Dimension Construction and Multilevel Construction
Han Li, Fang-Wei Fu
Constant dimension codes (CDCs) are essential for error correction in random network coding. A fundamental problem of CDCs is to determine their maximal possible size for given par…