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List decoding of binary block codes for the additive white Gaussian noise (AWGN) channel is considered. The output of a list decoder is a list of the most likely codewords, that is, the signal points closest to the received signal in the Euclidean-metric sense. A decoding error occurs when the transmitted codeword is not on this list. It is shown that the list error probability is fully described...
A new upper bound on the list error probability is presented. This bound is derived by combining the techniques for obtaining the tangential union bound with an improved bound on the error probability with respect to a given list. Connections between the list distance and the eigenvalues of the covariance matrix of the code are studied
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