On lattice tilings of Zn by limited magnitude error balls B(n, 2, 1, 1)

On lattice tilings of Zn by limited magnitude error balls B(n, 2, 1, 1)

Limited magnitude error model has applications in flash memory. In this model, a perfect code is equivalent to a tiling of Z n by limited magnitude error balls. In this paper, we give a complete classification of lattice tilings of Z n by limited magnitude error balls B ( n , 2, 1, 1).

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Veröffentlicht in:IEEE transactions on information theory 2023-11, Vol.69 (11), p.1-1
Hauptverfasser: Zhang, Tao, Lian, Yanlu, Ge, Gennian
Format: Artikel
Sprache:eng
Schlagworte:
Ash
Codes
Errors
flash memory
Flash memory (computers)
Germanium
Lattice tiling
Lattices
limited magnitude errors
Production
Shape
Symbols
Tiling
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Zusammenfassung:Limited magnitude error model has applications in flash memory. In this model, a perfect code is equivalent to a tiling of Z n by limited magnitude error balls. In this paper, we give a complete classification of lattice tilings of Z n by limited magnitude error balls B ( n , 2, 1, 1).
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2023.3301669