Family of vectors


Let x_1,...,x_{2n} e F_3^n be a family of vectors, such

that for a subset A of {1,...,2n}

Sum x_i = 0 => A = {}.
i e A

Is the following true:

For every v e F_3^n, there is a B_v with

Sum x_i = v ?
i e B_v


Regards
Hermann

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