On the packing density of Lee spheres
From MaRDI portal
Publication:6618607
DOI10.1007/s10623-024-01410-0zbMath1548.52021MaRDI QIDQ6618607
Publication date: 14 October 2024
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of packing and covering (05B40) Relations with coding theory (11H71)
Cites Work
- Unnamed Item
- Unnamed Item
- On \(x^{q+1}+ax+b\)
- Theorems in the additive theory of numbers
- Solving \(X^{q+1}+X+a=0\) over finite fields
- On the non-existence of linear perfect Lee codes: the Zhang-Ge condition and a new polynomial criterion
- No lattice tiling of \(\mathbb{Z}^n\) by Lee sphere of radius 2
- The packing density of the \(n\)-dimensional cross-polytope
- Nonexistence of perfect 2-error-correcting Lee codes in certain dimensions
- On the nonexistence of lattice tilings of \(\mathbb{Z}^n\) by Lee spheres
- On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\)
- Generalized twisted fields
- Planes of order \(n\) with collineation groups of order \(n^ 2\)
- A new approach towards the Golomb-Welch conjecture
- Quasi-Perfect Lee Codes of Radius 2 and Arbitrarily Large Dimension
- 50 Years of the Golomb--Welch Conjecture
- Lectures on Finite Fields
- Additive Combinatorics
- The Degree-Diameter Problem for Several Varieties of Cayley Graphs I: The Abelian Case
- Quasi-perfect Lee distance codes
- Computing the Continuous Discretely
- Cayley Graphs of Diameter Two from Difference Sets
- Perfect and Quasi-Perfect Codes Under the $l_{p}$ Metric
- Upper and lower bounds on $B_k^+$-sets
- ‐Relative Difference Sets and Their Representations
- Perfect Codes in the Lee Metric and the Packing of Polyominoes
- Note on a “Square” Functional Equation
- Lattice packings of cross‐polytopes from Reed–Solomon codes and Sidon sets
- On almost perfect linear Lee codes of packing radius 2
This page was built for publication: On the packing density of Lee spheres
