数值半群中的若干不变量及序界的估计
On some invariants in numerical semigroups and estimations of the order bound
摘要：
研究了数值半群S中的适当参数和关系。当S是射影曲线C的有理点P上的Weierstrass半群时，我们给出了相应的Goppa码族的Feng-Rao阶界.进一步，我们猜想，序界总是大于一个固定值很容易推出的参数的半群：我们也证明了这个不等式在几种情况下。
英文摘要：
We study suitable parameters and relations in a numerical semigroup S. When S is the Weierstrass semigroup at a rational point P of a projective curve C, we evaluate the Feng-Rao order bound of the associated family of Goppa codes. Further we conjecture that the order bound is always greater than a fixed value easily deduced from the parameters of the semigroup: we also prove this inequality in several cases.
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