A new approach towards the Golomb-Welch conjecture
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Publication:2637233
DOI10.1016/j.ejc.2013.10.010zbMath1288.94108arXiv1205.4875OpenAlexW2140692653WikidataQ123187876 ScholiaQ123187876MaRDI QIDQ2637233
Publication date: 10 February 2014
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.4875
Combinatorial aspects of tessellation and tiling problems (05B45) Combinatorial codes (94B25) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Related Items (9)
Restriction conditions on \(\mathrm{PL}(7, 2)\) codes \((3 \le \vert\mathcal{G}_i\vert \le 7)\) ⋮ Perfect t-codes in Cayley graphs of groups ⋮ On the nonexistence of lattice tilings of \(\mathbb{Z}^n\) by Lee spheres ⋮ Perfect codes in the \(\ell_p\) metric ⋮ Perfect codes in Euclidean lattices ⋮ On the non-existence of linear perfect Lee codes: the Zhang-Ge condition and a new polynomial criterion ⋮ Quasi-perfect codes in the \(\ell _p\) metric ⋮ No lattice tiling of \(\mathbb{Z}^n\) by Lee sphere of radius 2 ⋮ Nonexistence of perfect 2-error-correcting Lee codes in certain dimensions
Cites Work
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- On perfect codes and related concepts
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