Codes Endowed with the Rank Metric

Elisa Gorla, Alberto Ravagnani

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

2 Citations (Scopus)

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 languageEnglish
Title of host publicationSignals and Communication Technology
PublisherSpringer
Pages3-23
Number of pages21
DOIs
Publication statusPublished - 2018
Externally publishedYes

Publication series

NameSignals and Communication Technology
ISSN (Print)1860-4862
ISSN (Electronic)1860-4870

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