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Towers of Function Fields over Non-prime Finite Fields

Towers of Function Fields over Non-prime Finite Fields

Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places.Thus we obtain a substantial improvement on all known lower bounds for Ihara's quantity A(ℓ), for ℓ = p n with p prime and n > 3 odd.We relate the explicit equations to Drinfeld …