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Uniform Minors in Maximally Recoverable Codes
Aalto Univ, Finland..
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.
Aalto Univ, Finland..
Aalto Univ, Finland..
2019 (English)In: IEEE Communications Letters, ISSN 1089-7798, E-ISSN 1558-2558, Vol. 23, no 8, p. 1297-1300Article in journal (Refereed) Published
Abstract [en]

In this letter, locally recoverable codes with maximal recoverability are studied with a focus on identifying the MDS codes resulting from puncturing and shortening. By using matroid theory and the relation between MDS codes and uniform minors, the list of all the possible uniform minors is derived. This list is used to improve the known non-asymptotic lower bound on the required field size of a maximally recoverable code.

Place, publisher, year, edition, pages
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2019. Vol. 23, no 8, p. 1297-1300
Keywords [en]
Distributed storage, locally repairable codes, maximally recoverable codes, uniform minors, field size
National Category
Educational Sciences
Identifiers
URN: urn:nbn:se:mdh:diva-45093DOI: 10.1109/LCOMM.2019.2921540ISI: 000480653100004OAI: oai:DiVA.org:mdh-45093DiVA, id: diva2:1346678
Available from: 2019-08-28 Created: 2019-08-28 Last updated: 2019-08-28Bibliographically approved

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Westerback, Thomas

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