The Voronoi Region of the Barnes-Wall Lattice Λ16

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Daniel Pook-Kolb
  • Erik Agrell
  • Bruce Allen

Organisationseinheiten

Externe Organisationen

  • Chalmers University of Technology
  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
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Details

OriginalspracheEnglisch
Seiten (von - bis)16-23
Seitenumfang8
FachzeitschriftIEEE Journal on Selected Areas in Information Theory
Jahrgang4
PublikationsstatusVeröffentlicht - 16 Mai 2023

Abstract

We give a detailed description of the Voronoi region of the Barnes-Wall lattice Λ 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.

ASJC Scopus Sachgebiete

Zitieren

The Voronoi Region of the Barnes-Wall Lattice Λ16. / Pook-Kolb, Daniel; Agrell, Erik; Allen, Bruce.
in: IEEE Journal on Selected Areas in Information Theory, Jahrgang 4, 16.05.2023, S. 16-23.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Pook-Kolb, D, Agrell, E & Allen, B 2023, 'The Voronoi Region of the Barnes-Wall Lattice Λ16', IEEE Journal on Selected Areas in Information Theory, Jg. 4, S. 16-23. https://doi.org/10.48550/arXiv.2301.06092, https://doi.org/10.1109/JSAIT.2023.3276897
Pook-Kolb, D., Agrell, E., & Allen, B. (2023). The Voronoi Region of the Barnes-Wall Lattice Λ16. IEEE Journal on Selected Areas in Information Theory, 4, 16-23. https://doi.org/10.48550/arXiv.2301.06092, https://doi.org/10.1109/JSAIT.2023.3276897
Pook-Kolb D, Agrell E, Allen B. The Voronoi Region of the Barnes-Wall Lattice Λ16. IEEE Journal on Selected Areas in Information Theory. 2023 Mai 16;4:16-23. doi: 10.48550/arXiv.2301.06092, 10.1109/JSAIT.2023.3276897
Pook-Kolb, Daniel ; Agrell, Erik ; Allen, Bruce. / The Voronoi Region of the Barnes-Wall Lattice Λ16. in: IEEE Journal on Selected Areas in Information Theory. 2023 ; Jahrgang 4. S. 16-23.
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