Optimal locally repairable codes of distance 3 and 4 via cyclic codes

• Main Authors: Luo, Yuan, Xing, Chaoping, Yuan, Chen
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Mathematics; Error Correction Codes; Locally Repairable Codes and The Singleton Bound
• Online Access: https://hdl.handle.net/10356/143233
• Institution: Nanyang Technological University

Like classical block codes, a locally repairable code also obeys the Singleton-type bound (we call a locally repairable code optimal if it achieves the Singleton-type bound). In the breakthrough work of Tamo and Barg, several classes of optimal locally repairable codes were constructed via subcodes...