Glued lattices are better quantizers than K12
- verfasst von
- Erik Agrell, Daniel Pook-Kolb, Bruce Allen
- Abstract
40 years ago, Conway and Sloane proposed using the highly symmetrical Coxeter-Todd lattice K
12 for quantization, and estimated its second moment. Since then, all published lists identify K
12 as the best 12-dimensional lattice quantizer. Surprisingly, K
12 is not optimal: we construct two new 12-dimensional lattices with lower normalized second moments. The new lattices are obtained by gluing together products of two 6-dimensional lattices.
- Organisationseinheit(en)
-
Institut für Gravitationsphysik
- Externe Organisation(en)
-
Chalmers University of Technology
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
- Typ
- Artikel
- Journal
- IEEE Transactions on Information Theory
- Band
- 70
- Seiten
- 8414-8418
- Anzahl der Seiten
- 5
- ISSN
- 0018-9448
- Publikationsdatum
- 11.2024
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Information systems, Angewandte Informatik, Bibliotheks- und Informationswissenschaften
- Elektronische Version(en)
-
https://doi.org/10.48550/arXiv.2312.00481 (Zugang:
Offen)
https://doi.org/10.1109/TIT.2024.3398421 (Zugang: Offen)
