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。
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 de- signed distance. In addition, our results show that the r--point codes have better parameters than comparable one--point codes on the same curve.
出处
《安庆师范学院学报（自然科学版）》
2010年第1期7-9,共3页
Journal of Anqing Teachers College(Natural Science Edition)
关键词
魏尔斯特拉斯半群
代数几何码
代数曲线
Weierstrass semigroup, algebraic geometry code, algebraic curve
