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

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

2007-12-13

arxiv.org/abs/0712.2245v1

IEEE Transactions on Information Theory, ISSN 0018-9448, Vol. 54, No. 11, pp. 5019-5029, Nov. 2008

Computer Science

Information Theory

33 pages, 9 figures, 1 table. Submitted to the IEEE Transactions on Information Theory

Scientific paper

10.1109/TIT.2008.929912

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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