Locally recoverable code: Difference between revisions

Revision as of 01:36, 7 December 2023

Revision as of 01:38, 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 ''i'' ∈ {1, . . ., l}, f (<math>A_{''i''}</math> ) = {<math>t_{''i''}</math>} for some ti<math>t_{''i''}</math> ∈ <math>F_{q}</math> , i.e. f is constant on Ai<math>A_{''i''}</math> ,

::– #<math>A_{''i''}</math> = r + 1,

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

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