Perfect codes in Euclidean lattices
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Publication:1983871
DOI10.1007/s40314-021-01436-3zbMath1476.94044OpenAlexW3133361158WikidataQ114219333 ScholiaQ114219333MaRDI QIDQ1983871
Sueli I. R. Costa, Giselle Strey, João Eloir Strapasson
Publication date: 10 September 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01436-3
Linear codes (general theory) (94B05) Lattice packing and covering (number-theoretic aspects) (11H31) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Polyominoes (05B50)
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Cites Work
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- Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
- Quasi-perfect codes in the \(\ell _p\) metric
- Fast decoding of quasi-perfect Lee distance codes
- Perfect codes in the \(\ell_p\) metric
- Lattice-tiling properties of integral self-affine functions
- Lattice tilings by cubes: Whole, notched and extended
- Counting lattice points in pyramids
- Nonexistence of perfect 2-error-correcting Lee codes in certain dimensions
- A generalization of Lee codes
- Lattice-like total perfect codes
- A new approach towards the Golomb-Welch conjecture
- Graphs, Tessellations, and Perfect Codes on Flat Tori
- There is but one PDS in $\mathbb{Z}^{3}$ inducing just square components
- Lattice Codes for Deletion and Repetition Channels
- Random Ensembles of Lattices From Generalized Reductions
- Integral Self-Affine Tiles in ℝ n I. Standard and Nonstandard Digit Sets
- Perfect Codes in the Lee Metric and the Packing of Polyominoes
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