【摘要】 首先给出r元组的魏尔斯特拉斯半群的相关理论,然后用其构造一类代数几何码,这类码称为r点码,且其最小距离超过其设计距离,另外这类码比同曲线上的一点码具有更好的参数。更多还原

【Abstract】 In this paper,we give out the theory about the weierstrass semigroup of any r-tuple of point at first,then use them to construct algebraic geometry codes,which are called r-point code,with minimum distance exceeding the designed distance.In addition,our results show that the r-point codes have better parameters than comparable one-point codes on the same curve.更多还原