Glued lattices are better quantizers than K12
- authored by
- 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.
- Organisation(s)
-
Institute of Gravitation Physics
- External Organisation(s)
-
Chalmers University of Technology
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
- Type
- Article
- Journal
- IEEE Transactions on Information Theory
- Volume
- 70
- Pages
- 8414-8418
- No. of pages
- 5
- ISSN
- 0018-9448
- Publication date
- 11.2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Information Systems, Computer Science Applications, Library and Information Sciences
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.2312.00481 (Access:
Open)
https://doi.org/10.1109/TIT.2024.3398421 (Access: Open)
