| Title: | Nonexistence of face-to face four-dimensional tilings in the Lee metric |
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| Authors: | ID Špacapan, Simon (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.ejc.2005.08.003
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FS - Faculty of Mechanical Engineering
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| Abstract: | A family of ▫$n$▫-dimensional Lee spheres ▫$mathcal{L}$▫ is a tiling of ▫${mathbb{R}}^n$▫ if ▫$cupmathcal{L} = {mathbb{R}}^n$▫ and for every ▫$L_u, L_v in mathcal{L}$▫, the intersection ▫$L_u cap L_v$▫ is contained in the boundary of ▫$L_u$▫. If neighboring Lee spheres meet along entire ▫$(n-1)$▫-dimensional faces, then ▫$mathcal{L}$▫ is called a face-to-face tiling. We prove nonexistence of a face-to-face tiling of ▫${mathbb{R}}^4$▫, with Lee spheres of different radii. |
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| Keywords: | delitev, Leejeva metrika, popolne kode, tiling, Lee metric, perfect codes |
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| Year of publishing: | 2007 |
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| Number of pages: | str. 127-133 |
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| Numbering: | Vol. 28, no. 1 |
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| PID: | 20.500.12556/DKUM-51562  |
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| UDC: | 514.174 |
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| ISSN on article: | 0195-6698 |
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| COBISS.SI-ID: | 14128985 |
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| NUK URN: | URN:SI:UM:DK:MOV3DCOX |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1181 |
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| Downloads: | 90 |
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| Metadata: |    |
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| Categories: | Misc.
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