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Abstract: Maximum rank distance codes are the equivalent in rank-metric of Reed-Solomon codes whose subcodes have been widely studied.
In this paper we characterize subspace subcodes of MRD codes and we show that it is possible to construct efficient polynomial-time encoding-decoding procedures ...
This paper characterize subspace subcodes of MRD codes and shows that it is possible to construct efficient polynomial-time encoding-decoding procedures for ...
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Jan 29, 2023 · In this paper, we provide a generalization of Subspace Subcodes in Rank metric introduced by Gabidulin and Loidreau.
Maximum rank distance codes are the equivalent in rank-metric of Reed-Solomon codes whose subcodes have been widely studied. In this paper we characterize ...
Subspace codes and rank-metric codes can be used to correct errors and erasures in network, with linear network coding. Both types of codes have been ...
\par In this paper, we provide a generalization of Subspace Subcodes in Rank metric introduced by Gabidulin and Loidreau. We also characterize this family by ...
These codes can be seen as the analogs of Reed-Solomon codes (hereafter denoted RS-codes) for rank metric. In this paper their subspace subcodes are ...
Dec 11, 2023 · The focus of this chapter is on some of the fundamental parameters of a rank-metric code: minimum distance, rank distribution, maximum rank, ...
Codes in the rank metric of length n ≤ m can be considered as a set of m×n matrices over a finite field Fq or equivalently as a set of vectors of length n over ...