ALGEBRAIC GEOMETRY CODES WITH GOOD ASYMPTOTIC PARAMETERS
HU Wan-bao · Journal of Mathematics · 2007
In this paper,we discuss a class of algebraic geometry codes (A-G codes) with good asymptotic parameters.Based on some analyses on a relation amony divisor class number, number of rational divisors of high degrees,and parameters of A-G codes,we obtain an asymptotic bound of a class, which is better than both the Gilbert-Varshamov and the Xing bounds.Our result shows that these two bounds can be improved significantly around the two points where they intersect.