Existence of Reed-Solomon codes robust to permutation plus n-2k+1 insertions and deletions implies fully anonymous (k-1,2k-1,n) ramp secret-sharing schemes.
Threshold secret sharing requires a linear-size alphabet
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Anonymous Shamir's Secret Sharing via Reed-Solomon Codes Against Permutations, Insertions, and Deletions
Existence of Reed-Solomon codes robust to permutation plus n-2k+1 insertions and deletions implies fully anonymous (k-1,2k-1,n) ramp secret-sharing schemes.