Locally recoverable code: Difference between revisions

Revision as of 04:47, 6 December 2023

Revision as of 04:53, 6 December 2023

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• f has degree r + 1,

• there exist A <math>A_{1}</math> , . . . Al,<math>A_{l}</math> distinct subsets of Fq<math>F_{q}</math> such that

– for any i ∈ {1, . . ., l}, f (A <math>A_{i}</math> ) = {t <math>t_{i }</math>} for some ti ∈ F <math>F_{q}</math> , i.e. f is constant on Ai ,

– #A <math>A_{i}</math> = r + 1,

– Ai<math>A_{i}</math> ∩ A <math>A_{j}</math> = ∅ for any i ≠ j.

We say that {A1<math>A_{1}</math> , . . . , A <math>A_{l }</math>} is a splitting covering for f .