Exact and Approximate Expressions for the Probability of Undetected Error of Varshamov-Tenengol'ts Codes

Marco Baldi, Franco Chiaraluce, Torleiv Kløve

Computation of the undetected error probability for error correcting codes over the Z-channel is an important issue, explored only in part in previous literature. In this paper we consider the case of Varshamov-Tenengol'ts codes, by presenting some analytical, numerical, and heuristic methods for unveiling this additional feature. Possible comparisons with Hamming codes are also shown and discussed.

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