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 |
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| container_title | IEEE transactions on information theory |
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| creator | Zhang, Tao Lian, Yanlu Ge, Gennian |
| description | 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). |
| doi_str_mv | 10.1109/TIT.2023.3301669 |
| format | Article |
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| source | IEEE Electronic Library (IEL) |
| subjects | Ash Codes Errors flash memory Flash memory (computers) Germanium Lattice tiling Lattices limited magnitude errors Production Shape Symbols Tiling |
| title | On lattice tilings of Zn by limited magnitude error balls B(n, 2, 1, 1) |
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