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On Two Towers of Garcia and Stichtenoth

Deolalikar, Vinay

HPL-2001-208

Keyword(s): algebraic geometric codes; function fields; finite fields

Abstract: Please note. This abstract contains mathematical formula which cannot be represented here. We make the observation that two examples of towers of function fields with asymptotically positive N / g ratios given by Garcia and Stichtenoth can be generalized, each leading to tau(n) -- 1 such examples over GS (p(superscript n), n> 1, where tau is the number of divisors function.

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