On interleaved rank metric codes

Vladimir Sidorenko, Wenhui Li, Gerhard Kramer

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Horizontal and vertical interleavings of arbitrary matrix or vector rank metric codes are considered. A necessary and sufficient condition for an interleaved code to be maximum rank distance (MRO) code is obtained. In particular, horizontal interleaving of Gabidulin vector codes over the field {\mathbb{F}_{{qm}}} gives an example of a non-Gabidulin MRD code of length more than m. It is shown that interleaving of Gabidulin codes with different sets of locators can be decoded directly by syndrome decoders. Any other decoder can also be used in the case of different locators after making proposed modification of the received word.

Original languageEnglish
Title of host publicationProceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages128-134
Number of pages7
ISBN (Electronic)9781665402873
DOIs
Publication statusPublished - 11 Oct 2020
Event17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020 - Vitual, Albena, Bulgaria
Duration: 11 Oct 202017 Oct 2020

Publication series

NameProceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020

Conference

Conference17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020
Country/TerritoryBulgaria
CityVitual, Albena
Period11/10/2017/10/20

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