Full-length 2D Reed-Solomon codes: almost all orderings correct a linear fraction of insdel errors, and rate-1/2 codes correcting a single insdel error exist over fields of size Θ(k^4).
Deletion correcting using generalized Reed-Solomon codes,
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Reed-Solomon Codes Against Insertions and Deletions: Full-Length and Rate-$1/2$ Codes
Full-length 2D Reed-Solomon codes: almost all orderings correct a linear fraction of insdel errors, and rate-1/2 codes correcting a single insdel error exist over fields of size Θ(k^4).