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    Dualities over the cross product of the cyclic groups of order 2
    (American Institute of Mathematical Sciences, 2024) Dougherty, S.T.; Şahinkaya, Serap
    We determine the number of symmetric dualities on the s-fold cross product of the cyclic group of order 2, which is the additive group of the finite field F2s. We show that the ratio of symmetric dualities over all dualities goes to 0 as s goes to infinity.We also prove a surprising result that given any two binary codes C and D of the same length n with |C