New families of q-ary optimal locally repairable codes with availability are built via ordinary elliptic function fields, giving length O(q+2√q) and a q²-ary family with two recovering sets of length O(q²+2q) and small Singleton defect.
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Locally Repairable Codes with Availability via Elliptic Function Fields
New families of q-ary optimal locally repairable codes with availability are built via ordinary elliptic function fields, giving length O(q+2√q) and a q²-ary family with two recovering sets of length O(q²+2q) and small Singleton defect.