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We investigate binary, number-theoretic, bit insertion/deletion correcting codes as pioneered by Levenshtein. The weight spectra and Hamming distance properties of single insertion/deletion error-correcting codes are analyzed. These relationships are then extended to investigate codes that can correct multiple random insertions and deletions. From these relationships, new bounds are derived and a general construction for multiple insertion/deletion correcting codes is proposed and evaluated.doi:10.1109/18.971760 fatcat:3axt3lo3tjf6pglfennpp7rabu