The subset sum problem (SSP) (given n numbers and a target bound B, find a subset of the numbers summing to B), is one of the classical NP-hard problems. The hardness of SSP vari...
Recent studies have investigated lattice-reduction (LR) preprocessing technique for multiple-inputmultiple-output (MIMO) detection. However, if LR is applied to the orthogonalfreq...
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
A mass problem is a set of Turing oracles. If P and Q are mass problems, we say that P is weakly reducible to Q if every member of Q Turing computes a member of P. We say that P i...
We investigate Martin's game (as described in Arruda et al. (Eds.), On Random R. E. Sets, Non-Classical Logics, Model Theory and Computability, North-Holland, Amsterdam, 1977...