7 problems

Let $k$ denote the diversity order associated with the probability that the coefficient matrix constructed during cooperative decoding is rank deficient. Subunit diversity-order co…

Let $M$ be the number of transmitters, and consider a compute-and-forward system whose linear equations are ordered from best to worst according to the successive minima of the res…

QES search-step conjecture. The QES search steps required to ensure optimal performance depend on the angle and Euclidean distance between the two alpha discontinuities of…

Let ${\bf V}$ be the matrix appearing in a decomposition of the Gram matrix, and let $x_i$ denote the associated values. Efficient-algorithm conjecture. Particular choices of…

Popovski's conjecture. A rate region satisfying

Achievability conjecture. There exists a positive number $P^*(K)$ such that, for every $P\geq P^*(K)$, one can choose real numbers $\beta_2,\ldots,\beta_K$ with $|\beta_k|\geq 1$ s…

Symmetric-capacity conjecture. There exists a threshold such that the symmetric capacity is achievable for the symmetric Gaussian multiple access channel whenever the signal-to-noi…