On the construction of MRD convolutional codes

DOI10.1080/03081087.2023.2300673MaRDI QIDQ6638362

Carlos Vela, Filipa Santana, R. Pinto, D. Napp

Publication date: 14 November 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Theory of error-correcting codes and error-detecting codes (94Bxx) Special matrices (15Bxx) Finite fields and commutative rings (number-theoretic aspects) (11Txx)

Cites Work

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• Constructing strongly-MDS convolutional codes with maximum distance profile
• Theory of codes with maximum rank distance
• Bilinear forms over a finite field, with applications to coding theory
• Maximum distance separable convolutional codes
• Concatenation of convolutional codes and rank metric codes for multi-shot network coding
• Column rank distances of rank metric convolutional codes
• Systematic maximum sum rank codes
• A new rank metric for convolutional codes
• New criteria for MRD and Gabidulin codes and some rank-metric code constructions
• New MRD codes from linear cutting blocking sets
• Convolutional Codes With Maximum Column Sum Rank for Network Streaming
• Streaming Codes for Multicast Over Burst Erasure Channels
• Convolutional Codes in Rank Metric With Application to Random Network Coding
• Strongly-MDS convolutional codes
• Coding for Errors and Erasures in Random Network Coding
• Constructions of MDS-convolutional codes
• Common Complements of Linear Subspaces and the Sparseness of MRD Codes

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