CVX feasibility problems

Dear all,

I have two constraints and I want to create a matrix that respects my constraints.
I used CVX feasibility problem and the code is attached here.
inside the constraints, I have three summations and the condition is on the last loop.

When I run the code, it gives me zero matrices, meanwhile, it should be a binary matrix.

Best Regards

N=2;C=2;T=2;
cvx_begin
variable phi_a(N,C,T) binary;
minimize 0
subject to
% first constraint
for t = 1 : T
for i = 1 : N
sum04 = 0;
for v = 1 : C
sum04 = sum04 + phi_a(i,v,t);
end
sum04 == 1
end
end
% second constraint
for t = 1 : T
for v = 1 : C
sum04 = 0;
for i = 1 : N
sum04 = sum04 + phi_a(i,v,t);
end
sum04 <= 1
end
end
A = phi_a(i,v,t);
cvx_end

Please show all CVX and solver output, as well as displaying phi_a1after optimization completes. When I ran it with Mosek as solver, phi_ai1` was not all zeros and it satisfied the constraints, which is all that you can expect from a feasibility problem.

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