文章基本信息

标题：Locality via Partially Lifted Codes
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作者：S. Luna Frank-Fischer ; Venkatesan Guruswami ; Mary Wootters 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2017
卷号：81
页码：43:1-43:17
DOI：10.4230/LIPIcs.APPROX-RANDOM.2017.43
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：In error-correcting codes, locality refers to several different ways of quantifying how easily a small amount of information can be recovered from encoded data. In this work, we study a notion of locality called the s-Disjoint-Repair-Group Property (s-DRGP). This notion can interpolate between two very different settings in coding theory: that of Locally Correctable Codes (LCCs) when s is large - a very strong guarantee - and Locally Recoverable Codes (LRCs) when s is small - a relatively weaker guarantee. This motivates the study of the s-DRGP for intermediate s, which is the focus of our paper. We construct codes in this parameter regime which have a higher rate than previously known codes. Our construction is based on a novel variant of the lifted codes of Guo, Kopparty and Sudan. Beyond the results on the s-DRGP, we hope that our construction is of independent interest, and will find uses elsewhere.
关键词：Error correcting codes; locality; lifted codes