On s-sum-sets (s odd) and three-weight projective codes
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We show that if θ is the set of coordinate forms of a three-weight linear projective code C(n,k), and if X-F*θ is a 5-sum-set then the three weights are in arithmetical progression, that is, w1=w2-A and w3=w2+ A with A a function which depends of the number of words of weight three in C⊥(n,n-k). Furthermore we obtain some relations between s-sum-sets (s odd) and their parameters.
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