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In this paper, we propose an upper bound on the minimum Bhattacharyyadistance of codes for channels with a zero-error capacity. The bound isobtained by combining an extension of the Elias bound introduced by Blahut,with an extension of a bound previously introduced by the author, which buildsupon ideas of Gallager, Lov\'asz and Marton.

An Elias Bound on the Bhattacharyya Distance of Codes for Channels with a Zero-Error Capacity