| Paper ID | D1-S7-T2.3 |
| Paper Title |
Tiling of Constellations |
| Authors |
Maiara Francine Bollauf, Øyvind Ytrehus, Simula UiB, Norway |
| Session |
D1-S7-T2: Algebraic Codes |
| Chaired Session: |
Tuesday, 13 July, 00:00 - 00:20 |
| Engagement Session: |
Tuesday, 13 July, 00:20 - 00:40 |
| Abstract |
Motivated by applications in reliable and secure communication, we address the problem of tiling (or partitioning) a finite constellation in $\mathbb{Z}_{2^L}^n$ by subsets, in the case that the constellation does not possess an abelian group structure. The property that we do require is that the constellation is generated by a linear code through an injective mapping. The intrinsic relation between the code and the constellation provides a sufficient condition for a tiling to exist. We also present a necessary condition. Inspired by a result in group theory, we discuss results on tiling for the particular case when the finer constellation is an abelian group as well.
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