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The intersection structure for Z 2 Z 4-additive Hadamard codes is investigated. For any two of these codes C 1 and C 2, the Abelian group structure of the intersection C 1 capC 2 is characterized. The parameters of this Abelian group structure corresponding to the intersection codes are computed, establishing lower and upper bounds for them. Constructions are given of codes whose intersection has any parameters between these bounds.