论文标题:一类代数几何码的广义汉明重量
论文作者
论文导师 蔡传仁,论文学位 硕士,论文专业 基础数学
论文单位 扬州大学,点击次数 125,论文页数 24页File Size400K
2006-04-01论文网 http://www.lw23.com/lunwen_33526407/
algebraic curve; algebraic geometric code; generalized hamming weight
求广义汉明重量是编码理论的一个基本问题,Hermite曲线上的代数几何码的广义汉明重量已为人们所熟知。文献[1]的结果proposition1使人自然联想到可以将Hermite曲线推广。本文主要考虑有限域F_(q~(2t))上代数曲线y~q + y = x~(q~t+1),文献[7]求出了其在特别情形下的二阶广义汉明重量,本文给出了其三阶广义汉明重量。
To obtain the generalized Hamming weights is a basic problem in coding theory, the results of generalized hamming weights of Hermite curve is well-know.It is naturely to generize the Hermite curve since [1,proposition]. In this paper,we consider the cases algebraic-geometric codes(geometric Goppa codes) form algebraic curves y~q + y = x~(q~t+1) over finite fieldF_(q~(2t)).Paper [7] gives its 2-th generalized Hamming weights in special condition,we give its 3-th generalized Hamming weights in this paper.
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