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[Keyword] multiple locality(1hit)

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  • On the Optimality of Gabidulin-Based LRCs as Codes with Multiple Local Erasure Correction Open Access

    Geonu KIM  Jungwoo LEE  

     
    LETTER-Coding Theory

      Vol:
    E102-A No:9
      Page(s):
    1326-1329

    The Gabidulin-based locally repairable code (LRC) construction by Silberstein et al. is an important example of distance optimal (r,δ)-LRCs. Its distance optimality has been further shown to cover the case of multiple (r,δ)-locality, where the (r,δ)-locality constraints are different among different symbols. However, the optimality only holds under the ordered (r,δ) condition, where the parameters of the multiple (r,δ)-locality satisfy a specific ordering condition. In this letter, we show that Gabidulin-based LRCs are still distance optimal even without the ordered (r,δ) condition.