Thank you so much!
Have you read the CVX Users’ Guide http://cvxr.com/cvx/doc/ ? This problem is almost as simple to enter as it gets in CVX.
There is no point in squaring the objective function, although you can do so using
The simplest formulation (not squaring the norm in the objective function) is
cvx_begin variable x(n) integer minimize(norm(v - B*x)) cvx_end
Due to the integer constraint,.you will need to have available and use Gurobi or Mosek as solver,