Locally recoverable code: Difference between revisions

Revision as of 02:04, 7 December 2023

Revision as of 02:06, 7 December 2023

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

::– for any <math>i ∈\in \{1, . . .\ldots, l\}</math>, f (<math>A_{i}</math> ) = {<math>t_{i}</math>} for some <math>t_{i}</math> ∈ <math>F_{q}</math> , i.e. f is constant on <math>A_{i}</math> ,

::– #<math>A_{i}</math> = r + 1,

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

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