KMS Of Academy of mathematics and systems sciences, CAS
| An Integer Programming-Based Bound for Locally Repairable Codes | |
Wang, Anyu1; Zhang, Zhifang2
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| 2015-10-01 | |
| Source Publication | IEEE TRANSACTIONS ON INFORMATION THEORY
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| ISSN | 0018-9448 |
| Volume | 61Issue:10Pages:5280-5294 |
| Abstract | The locally repairable code (LRC) studied in this paper is an right perpendicularn, kleft perpendicular linear code of which the value at each coordinate can be recovered by a linear combination of at most r other coordinates. The central problem in this paper is to determine the largest possible minimum distance for LRCs. First, an integer programming- based upper bound is derived for any LRC. Then, by solving the programming problem under certain conditions, an explicit upper bound is obtained for LRCs with parameters n(1) > n(2), where n(1) = right perpendicular(n/r + 1)left perpendicular and n(2) = n(1)(r+1)-n. Finally, an explicit construction for LRCs attaining this upper bound is presented over the finite field F(2)m, where m >= n(1)r. Based on these results, the largest possible minimum distance for all LRCs with r <= root n - 1 has been definitely determined, which is of great significance in practical use. |
| Keyword | Distributed storage erasure codes locally repairable codes linear codes |
| DOI | 10.1109/TIT.2015.2472515 |
| Language | 英语 |
| Funding Project | National Key Basic Research Project of China[2011CB302400] ; National Science Foundation of China[61379139] ; Strategic Priority Research Program through the Chinese Academy of Sciences[XDA06010701] ; National Natural Science Foundation of China[61121062/F02] ; 973 Project[2011CB302401] |
| WOS Research Area | Computer Science ; Engineering |
| WOS Subject | Computer Science, Information Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000361486800004 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20762 |
| Collection | 系统科学研究所 |
| Corresponding Author | Wang, Anyu |
| Affiliation | 1.Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China 2.Chinese Acad Sci, AMSS, NCMIS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Anyu,Zhang, Zhifang. An Integer Programming-Based Bound for Locally Repairable Codes[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2015,61(10):5280-5294. |
| APA | Wang, Anyu,&Zhang, Zhifang.(2015).An Integer Programming-Based Bound for Locally Repairable Codes.IEEE TRANSACTIONS ON INFORMATION THEORY,61(10),5280-5294. |
| MLA | Wang, Anyu,et al."An Integer Programming-Based Bound for Locally Repairable Codes".IEEE TRANSACTIONS ON INFORMATION THEORY 61.10(2015):5280-5294. |
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