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I am starting my research on group divisible designs this year and I wonder if there are any algorithms/software that help with constructions.

Thank you

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There are some implementations available in sagemath, see e.g. http://doc.sagemath.org/html/en/reference/combinat/sage/combinat/designs/group_divisible_designs.html#sage-combinat-designs-group-divisible-designs

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