Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/83424
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dc.contributor.authorLiu, Shiqiuen
dc.contributor.authorOggier, Frédériqueen
dc.date.accessioned2016-09-06T08:35:25Zen
dc.date.accessioned2019-12-06T15:22:14Z-
dc.date.available2016-09-06T08:35:25Zen
dc.date.available2019-12-06T15:22:14Z-
dc.date.issued2016en
dc.identifier.citationLiu, S., & Oggier, F. (2016). On applications of orbit codes to storage. Advances in Mathematics of Communications, 10(1), 113-130.en
dc.identifier.issn1930-5346en
dc.identifier.urihttps://hdl.handle.net/10356/83424-
dc.description.abstractWe consider orbit codes, namely subspace codes obtained from orbits of the action of subgroups of GLn(Fq) on m-dimensional subspaces of Fnq. We discuss their applicability to design storage codes, in particular in the context of collaborative repair: we identify known storage codes that can be interpreted as orbit codes, motivate why orbit codes provide good candidates for storage codes, and translate the storage code parameters into those of the algebraic objects involved. Two simple families of storage orbit codes are given.en
dc.format.extent18 p.en
dc.language.isoenen
dc.relation.ispartofseriesAdvances in Mathematics of Communicationsen
dc.rights© 2016 American Institute of Mathematical Sciences (AIMS) and Shandong University (SDU). This is the author created version of a work that has been peer reviewed and accepted for publication by Advances in Mathematics of Communications, American Institute of Mathematical Sciences (AIMS) and Shandong University (SDU). It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.3934/amc.2016.10.113].en
dc.subjectGroup actionen
dc.subjectorbit codesen
dc.titleOn applications of orbit codes to storageen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen
dc.identifier.doi10.3934/amc.2016.10.113en
dc.description.versionAccepted versionen
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