On Two Towers of Garcia and Stichtenoth

Deolalikar, Vinay

HP Development Company

关键词: algebraic geometric codes;    function fields;    finite fields;   

RP-ID  :  HPL-2001-208

学科分类：计算机科学（综合）

美国|英语

来源: HP Labs

【 摘 要 】

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. 3 Pages