Open AccessOn Constructions of a Class of Binary Locally Repairable Codes With Multiple Repair Groups
Author(s) -
Yi-Sheng Su
Publication year - 2017
Publication title -
ieee access
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.587
H-Index - 127
ISSN - 2169-3536
DOI - 10.1109/access.2017.2675878
Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation
Recently, Hao and Xia noted a connection between a class of binary locally repairable codes (LRCs) with multiple repair groups and binary low-density parity-check (LDPC) codes, and proposed a framework for constructing binary LRCs from LDPC codes as well as three specific constructions of binary LRCs that can achieve a distance bound. The connection between binary LRCs and LDPC codes, however, has not yet been fully disclosed and constructions of binary LRCs that can achieve the distance bound remain largely unknown. Accordingly, this paper comments on the connection and presents two infinite families of binary LRCs that can achieve the distance bound, based on circulant permutation matrices and affine permutation matrices. The proposed LRCs generalize the promising construction of high-rate codes proposed by Hao and Xia, and offer larger relative distances with the same or higher code rates when compared with other competitive codes.
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