Cover Image

The Voronoi Region of the Barnes-Wall Lattice $Λ_{16}$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pook-Kolb, Daniel, Agrell, Erik, Allen, Bruce
Format:	Preprint
Published:	2023
Subjects:	Information Theory Metric Geometry 11H06, 11H56, 52B20, 52C07
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Exact calculation of quantizer constants for arbitrary lattices
by: Pook-Kolb, Daniel, et al.
Published: (2022)

The Legendre Transform of Convex Lattice Sets
by: He, Tingting, et al.
Published: (2024)

Packing minima of convex bodies
by: Han, Mei, et al.
Published: (2026)

Semigroups of Integer Points in Convex Cones
by: Blekherman, Grigoriy, et al.
Published: (2025)

On lattice illumination of smooth convex bodies
by: Fukshansky, Lenny
Published: (2025)

Lattice Size in Higher Dimension
by: Alajmi, Abdulrahman, et al.
Published: (2022)

Unimodular triangulation and bounds for smooth Fano polytopes
by: Hegedüs, Gábor
Published: (2026)

Local Formulas for Ehrhart Coefficients from Lattice Tiles
by: Ring, Maren H., et al.
Published: (2017)

On indecomposable elements in lattices
by: Fukshansky, Lenny, et al.
Published: (2026)

Higher-order, generically complete, continuous, and polynomial-time isometry invariants of periodic sets
by: Widdowson, Daniel E, et al.
Published: (2025)

A degenerate version of Brion's formula
by: Peterson, Carsten
Published: (2024)

Coloopless zonotopes and counterexamples to the Shifted Lonely Runner Conjecture
by: Blanco, Mónica, et al.
Published: (2026)

Lattice Size of Width One Lattice Polytopes in $\mathbb{R}^3$
by: Alajmi, Abdulrahman, et al.
Published: (2022)

On Generalized Kissing Numbers of Convex Bodies
by: Li, Yiming, et al.
Published: (2024)

On lattice coverings by locally anti-blocking bodies and polytopes with few vertices
by: Schymura, Matthias, et al.
Published: (2025)

On the kissing number of the cross-polytope
by: Miller, Niklas
Published: (2025)

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method
by: Lian, Yanlu, et al.
Published: (2024)

Bounded common fundamental domains for two lattices
by: Grepstad, Sigrid, et al.
Published: (2025)

Bounded and measurable common fundamental domains for two lattices
by: Spyridakis, Emmanouil
Published: (2026)

On Generalized Kissing Numbers of Convex Bodies (II)
by: Li, Yiming, et al.
Published: (2025)

Upper Bounds on Covering Minima of Convex Bodies
by: Krivokuća, Katarina
Published: (2026)

Sharp inequalities for discrete and continuous multi-tiling, using the Bombieri-Siegel approach
by: Martins, Michel Faleiros, et al.
Published: (2022)

Uniqueness of Flotation and Buoyancy Surfaces for Convex Polytopes
by: Dann, Susanna, et al.
Published: (2026)

Planar lattices and equilateral odd-gons
by: Iino, Akira, et al.
Published: (2025)

Lattices with exponentially large kissing numbers
by: Vlăduţ, Serge
Published: (2018)

On the classification of lattice polytopes via affine equivalence
by: Cai, Zhanyuan, et al.
Published: (2024)

Moduli spaces of Delzant polytopes and symplectic toric manifolds
by: Pelayo, Álvaro, et al.
Published: (2023)

Convex polytopes in restricted point sets in $\mathbb{R}^d$
by: Bukh, Boris, et al.
Published: (2022)

The Compression method and applications
by: Agama, Theophilus
Published: (2019)

Generalized angle vectors, geometric lattices, and flag-angles
by: Backman, Spencer, et al.
Published: (2018)

Equable Parallelograms on the Eisenstein Lattice
by: Aebi, Christian, et al.
Published: (2024)

Covering lattice points by subspaces
by: Bárány, Imre, et al.
Published: (2001)

A Sharp Reverse Minkowski Inequality for the Gaussian Mass of Integral Unimodular Lattices Through Rank $32$
by: Kominers, Scott Duke
Published: (2026)

Generalizations of cyclic polytopes
by: Bisztriczky, Tibor
Published: (2024)

On the lattice Hadwiger number of superballs and some other bodies
by: Vlăduţ, Serge
Published: (2019)

Empty simplices of large width
by: Doolittle, Joseph, et al.
Published: (2021)

Steiner symmetrization with respect to the Kakutani-Fibonacci sequence of directions
by: Carbone, Ingrid, et al.
Published: (2026)

On lattice triangles satisfying $\boldsymbol{B(T)=3}$ with collinear interior lattice points
by: Li, Eddy, et al.
Published: (2025)

Equality in a Reverse Minkowski Shell Bound for Integral Lattices via Spherical Designs
by: Kominers, Scott Duke
Published: (2026)

McShane-Rivin norm balls and simple-length multiplicities
by: Doan, Nhat Minh, et al.
Published: (2026)