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We construct Galois towers with good asymptotic properties over any non-prime finite field $𝔽_ℓ$; that is, we construct sequences of function fields 𝓝 = (N₁ ⊂ N₂ ⊂ ⋯) over of increasing genus, such that all the extensions are Galois extensions and the number of rational places of these function fields grows linearly with the genus. The limits of the towers satisfy the same lower bounds...
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