On applications of orbit codes to storage
Date of Issue2016
School of Physical and Mathematical Sciences
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.
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].