8 problems

Butman's feedback-capacity conjecture. The quantity $C^{L,B}(\kappa)$ is the feedback capacity of the channel.

Gap-source conjecture. The gap between the focusing bound and the reliabilities achieved by this scheme is due to the {a-priori} splitting of the channel into dedicated data and fl…

In the variable-length stop-feedback coding setting, feedback is received only after a transmission decision can be made, and sufficiently long packets may be attempted after the t…

Consider a variable-length feedback code with $M=2^K$ messages, target error probability $P_e$, expected decoding time $\mathbb{E}[T]$, rate $\overline{R}$, channel capacity $C$, f…

Strict sum-rate improvement conjecture. Based on extensive simulations, the proposed scheme is strictly better in terms of sum-rate than the Shaviv–Steinberg scheme whenever

Higher-order boundedness conjecture. A similar boundedness result should hold for the $L^{th}$ order error exponent whenever

Let $C(N,P)$ denote the sum-capacity of the $N$-sender Gaussian multiple access channel with feedback under symmetric power constraint $P$, and let $C_\mathrm{L}(N,P)$ denote the m…

Let the system be the AWGN channel with noisy feedback described in the paper, with blocklength $N$, feedback-noise variance $\sigma^2$, signal-to-noise parameter $\gamma$, power p…