5 papers · 1 filter
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…
Constructions and List Decoding of Sum-Rank Metric Codes Based on Orthogonal Spaces over Finite Fields
Xuemei Liu, Jiarong Zhang, Gang Wang
Sum-rank metric codes, as a generalization of Hamming codes and rank metric codes, have important applications in fields such as multi-shot linear network coding, space-time coding…
New Constructions of Full Flag Codes Based on Partial Spreads
Xiang Han, Xinran Li, Gang Wang
Flag codes are a class of multishot network codes comprising sequences of nested subspaces (flags) within the vector space , where is a prime power. In this pap…