I'm a beginner in mathematics, so, I may be confusing with the vectors...
Is there a name and definite operator for this operation ?
Two sets A and B :
$$A = \{ a_0, a_1 \} \\ B = \{ b_0, b_1, b_2 \} \\$$
$A [operator] B = \{ a_0 + b_0, a_0 + b_1, a_0 + b_2, a_1 + b_0, a_1 + b_1, a_1 + b_2 \}$
Where [operator] is the operator which can done the result above.