On Lattice Tilings of ℤn by Limited Magnitude Error Balls B(n, 2, 1, 1)

IF 2.2 3区计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS

IEEE Transactions on Information Theory Pub Date : 2023-08-03 DOI:10.1109/TIT.2023.3301669

Tao Zhang;Yanlu Lian;Gennian Ge

引用次数: 0

Abstract

Limited magnitude error model has applications in flash memory. In this model, a perfect code is equivalent to a tiling of

$\mathbb {Z}^{n}$

by limited magnitude error balls. In this paper, we give a complete classification of lattice tilings of

$\mathbb {Z}^{n}$

by limited magnitude error balls

$\mathcal {B}(n,2,1,1)$

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关于的格平铺ℤn由有限大小误差球B（n，2，1，1）

有限幅度误差模型在闪存中有应用。在这个模型中，一个完美的代码相当于由有限大小的误差球进行的$\mathbb｛Z｝^｛n｝$的平铺。在本文中，我们用有限大小误差球$\mathcal｛B｝（n，2，1，1）$对$\mathbb｛Z｝^｛n｝$的晶格tilings给出了一个完整的分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Transactions on Information Theory 工程技术-工程：电子与电气

CiteScore

5.70

自引率

20.00%

发文量

514

审稿时长

12 months

期刊介绍： The IEEE Transactions on Information Theory is a journal that publishes theoretical and experimental papers concerned with the transmission, processing, and utilization of information. The boundaries of acceptable subject matter are intentionally not sharply delimited. Rather, it is hoped that as the focus of research activity changes, a flexible policy will permit this Transactions to follow suit. Current appropriate topics are best reflected by recent Tables of Contents; they are summarized in the titles of editorial areas that appear on the inside front cover.