Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/156322
Title: Application of optimal p-ary linear codes to alphabet-optimal locally repairable codes
Authors: Luo, Gaojun
Ling, San
Keywords: Science::Mathematics
Issue Date: 2022
Source: Luo, G. & Ling, S. (2022). Application of optimal p-ary linear codes to alphabet-optimal locally repairable codes. Designs, Codes and Cryptography. https://dx.doi.org/10.1007/s10623-022-01040-4
Project: 04INS000047C230GRT01
Journal: Designs, Codes and Cryptography
Abstract: Linear codes have widespread applications in data storage systems. There are two major contributions in this paper. We first propose infinite families of optimal or distance-optimal linear codes over Fp constructed from projective spaces.Moreover, a necessary and sufficient condition for such linear codes to be Griesmer codes is presented. Secondly, as an application in data storage systems, we investigate the locality of the linear codes constructed. Furthermore, we show that these linear codes are alphabet-optimal locally repairable codes with locality 2.
URI: https://hdl.handle.net/10356/156322
ISSN: 0925-1022
DOI: 10.1007/s10623-022-01040-4
Rights: © 2022 The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. This is a post-peer-review, pre-copyedit version of an article published in Designs, Codes and Cryptography. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10623-022-01040-4,
Fulltext Permission: embargo_20230416
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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