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An interesting open question is whether a doubly even code exists. In  the odd prime numbers which can divide the order of the group of were determined and is the largest of these. Twenty-three is eliminated by reducing the problem to the consideration of codes, each of which is shown to have minimum weight or less. One of these codes, denoted by , arises from the construction where and are in one quadratic residue code and is in the other. The weight distribution of is given.