Abstract
We review the main results of the theory of error-correcting codes with the rank metric, introducing combinatorial techniques for their analysis. We study their duality theory and MacWilliams identities, comparing in particular rank-metric codes in vector and matrix representation. We then investigate the structure of MRD codes and cardinality-optimal anticodes in the rank metric, describing how they relate to each other.
Original language | English |
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Title of host publication | Signals and Communication Technology |
Publisher | Springer |
Pages | 3-23 |
Number of pages | 21 |
DOIs | |
Publication status | Published - 2018 |
Externally published | Yes |
Publication series
Name | Signals and Communication Technology |
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ISSN (Print) | 1860-4862 |
ISSN (Electronic) | 1860-4870 |