摘要
在这份报纸，为 m 厚度李重量的 MacWilliams 类型身份在 \mathbbF2 + u\mathbbF2\mathbb 上为线性代码枚举符 { F }_2 + u\mathbb { F }_2 被决定。作为这身份的一个应用程序，作者在 \mathbbF2m + u\mathbbF2m \mathbb 上为线性代码在李重量上获得 MacWilliams 类型身份 { F }_{ 2 ^ m }+ u\mathbb { F }_{ 2 ^ m } 。而且，作者由利用 Krawtchouk 多项式为 m 厚度李重量分布证明两重性。
In this paper, the MacWilliams type identity for the m-ply Lee weight enumerator for linear codes over F2 ＋uF2 is determined. As an application of this identity, the authors obtain a MacWilliams type identity on Lee weight for linear codes over F2m ＋ uF2m. Furthermore, the authors prove a duality for the m-ply Lee weight distributions by taking advantage of the Krawtchouk polynomials.
基金
supported by National Natural Science Funds of China under Grant No.60973125
College Doctoral Funds of China under Grant No.20080359003
Anhui College Natural Science Research Project under Grant No.KJ2010B171
Research Project of Hefei Normal University under Grant No.2012kj10
关键词
线性码
类型
重量
标识
F2
k多项式
两重性
重分布
Lee weight, linear codes, MacWilliams type identity, m-ply weight enumerator.
