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There is no $[24,12,9]$ doubly-even self-dual code over $\mathbb F_4$

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  • We show that there is no $[24,12,9]$ doubly-even self-dual code over $\mathbb{F}_4$ by attempting to construct the generator matrix of this code directly.
    Mathematics Subject Classification: Primary: 94B05.


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    The Sage Development TeamSage Mathematics Software, Version 6.4.1, http://www.sagemath.org

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