The Voronoi Region of the Barnes-Wall Lattice Λ16
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| Title: | The Voronoi Region of the Barnes-Wall Lattice Λ16 |
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| Authors: | Pook-Kolb, Daniel, Agrell, Erik, 1965, Allen, Bruce |
| Source: | IEEE Journal on Selected Areas in Information Theory. 4:16-23 |
| Subject Terms: | normalized second moment, Voronoi region, lattice quantizer, Barnes–Wall lattice, quantizer constant |
| Description: | We give a detailed description of the Voronoi region of the Barnes–Wall lattice $\Lambda _{16}$ , including its vertices, relevant vectors, and symmetry group. The exact value of its quantizer constant is calculated, which was previously only known approximately. To verify the result, we estimate the same constant numerically and propose a new very simple method to quantify the variance of such estimates, which is far more accurate than the commonly used jackknife estimator. |
| File Description: | electronic |
| Access URL: | https://research.chalmers.se/publication/538975 https://research.chalmers.se/publication/540545 https://research.chalmers.se/publication/540545/file/540545_Fulltext.pdf |
| Database: | SwePub |
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Nájsť tento článok vo Web of Science | Abstract: | We give a detailed description of the Voronoi region of the Barnes–Wall lattice $\Lambda _{16}$ , including its vertices, relevant vectors, and symmetry group. The exact value of its quantizer constant is calculated, which was previously only known approximately. To verify the result, we estimate the same constant numerically and propose a new very simple method to quantify the variance of such estimates, which is far more accurate than the commonly used jackknife estimator. |
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| ISSN: | 26418770 |
| DOI: | 10.1109/JSAIT.2023.3276897 |