On applications of orbit codes to storage
We 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 inter...
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sg-ntu-dr.10356-834242023-02-28T19:33:17Z On applications of orbit codes to storage Liu, Shiqiu Oggier, Frédérique School of Physical and Mathematical Sciences Group action orbit codes We 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. Accepted version 2016-09-06T08:35:25Z 2019-12-06T15:22:14Z 2016-09-06T08:35:25Z 2019-12-06T15:22:14Z 2016 Journal Article Liu, S., & Oggier, F. (2016). On applications of orbit codes to storage. Advances in Mathematics of Communications, 10(1), 113-130. 1930-5346 https://hdl.handle.net/10356/83424 http://hdl.handle.net/10220/41425 10.3934/amc.2016.10.113 en Advances in Mathematics of Communications © 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]. 18 p. application/pdf |
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Group action orbit codes |
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Group action orbit codes Liu, Shiqiu Oggier, Frédérique On applications of orbit codes to storage |
| description |
We 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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Liu, Shiqiu Oggier, Frédérique |
| format |
Article |
| author |
Liu, Shiqiu Oggier, Frédérique |
| author_sort |
Liu, Shiqiu |
| title |
On applications of orbit codes to storage |
| title_short |
On applications of orbit codes to storage |
| title_full |
On applications of orbit codes to storage |
| title_fullStr |
On applications of orbit codes to storage |
| title_full_unstemmed |
On applications of orbit codes to storage |
| title_sort |
on applications of orbit codes to storage |
| publishDate |
2016 |
| url |
https://hdl.handle.net/10356/83424 http://hdl.handle.net/10220/41425 |
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1759858151168933888 |