On the construction of perfect deletion-correcting codes using design theory
Designs, Codes and Cryptography
Existence of Perfect 3-Deletion-CorrectingCodes
Designs, Codes and Cryptography
A Combinatorial Construction for PerfectDeletion-Correcting Codes
Designs, Codes and Cryptography
Existence of Perfect 4-Deletion-Correcting Codes with Length Six
Designs, Codes and Cryptography
Improved decoding of Reed-Solomon and algebraic-geometry codes
IEEE Transactions on Information Theory
Reliable communication over channels with insertions, deletions, and substitutions
IEEE Transactions on Information Theory
Codes correcting a single insertion/deletion of a zero or a single peak-shift
IEEE Transactions on Information Theory
Spectrum of Sizes for Perfect Deletion-Correcting Codes
SIAM Journal on Discrete Mathematics
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A code is n-deletion correcting if it is possible to correct any n deletion of symbols having occurred in transmission of codewords. In this paper, we present explicit constructions of n-deletion correcting codes for arbitrary values of n using generalized Reed---Solomon codes and their subcodes.