On applications of orbit codes to storage
| Autor: | Frederique Oggier, Shiqiu Liu |
|---|---|
| Přispěvatelé: | School of Physical and Mathematical Sciences |
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Computer Networks and Communications Applied Mathematics Group action 020206 networking & telecommunications Context (language use) 02 engineering and technology Linear subspace Action (physics) orbit codes Simple (abstract algebra) ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0202 electrical engineering electronic engineering information engineering Code (cryptography) Discrete Mathematics and Combinatorics Astrophysics::Earth and Planetary Astrophysics Orbit (control theory) Algebraic number Subspace topology Mathematics |
| Zdroj: | Advances in Mathematics of Communications. 10:113-130 |
| ISSN: | 1930-5346 |
| DOI: | 10.3934/amc.2016.10.113 |
| Popis: | We consider orbit codes, namely subspace codes obtained from orbits of the action of subgroups of $GL_n(\mathbb{F}_q)$ on $m$-dimensional subspaces of $\mathbb{F}_q^n$. 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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