F3 is a finite field with 3 elements and V is a vector space of n-tuples of elements from F3.(adsbygoogle = window.adsbygoogle || []).push({});

Is there a way to calculate the maximum number of elements in a subset S of V, such that for no three elements a,b,c in S

a+b+c=0? Or in other words, no three elements in S are on the same line.

How would I even approach this problem?

Thanks

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# Collinear vectors over finite fields

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