Noga Alon, Gil Cohen

We introduce a class of polynomials, which we call \emph{subspace polynomials} and show that the problem of explicitly constructing a rigid matrix can be reduced to the problem of explicitly constructing a small hitting set for this class. We prove that small-bias sets are hitting sets for the class of ... more >>>

Ben Lund, Aditya Potukuchi

We show that a random puncturing of a code with good distance is list recoverable beyond the Johnson bound.

In particular, this implies that there are Reed-Solomon codes that are list recoverable beyond the Johnson bound.

It was previously known that there are Reed-Solomon codes that do not have this ...
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