Necessity conjecture for achievable soft-DF-BP rates

Let soft-DF-BP operate with codes confined to sequences of “good” codes. Let the conditions of the source's Theorem formalize sufficient conditions for a rate to be achievable with soft-DF-BP. Soft-DF-BP rate conjecture. Those conditions are necessary as well as sufficient for a rate to be achievable with soft-DF-BP. The conjecture would characterize the achievable rates of soft-DF-BP under the good-code restriction, whereas the source establishes only sufficiency of the stated conditions; no resolution is given.

Sources & referencesView supporting material

Primary source

Amir Bennatan, Shlomo Shamai and A. Robert Calderbank, “Soft-Decoding-Based Strategies for Relay and Interference Channels: Analysis and Achievable Rates Using LDPC Codes”, arXiv:1008.1766 (2013).

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