环[F2+vF2]上线性码的t-Lee重量计数器的研究

计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (9): 37-39.

环[F2+vF2]上线性码的t-Lee重量计数器的研究

田园，辛小龙

西北大学数学系，西安 710127

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2012-03-21 发布日期:2012-04-11

Study of t-Lee weight enumerator on linear space of [F2+vF2]

TIAN Yuan, XIN Xiaolong

Department of Mathematics, Northwest University, Xi’an 710127, China

Received:1900-01-01 Revised:1900-01-01 Online:2012-03-21 Published:2012-04-11

摘要/Abstract

摘要： 基于环[F2+vF2]的四元有限环，在Lee重量的基础上，定义了[t-Lee]重量计数器，给出了环上互为对偶的线性码关于这个新计数器所满足的MacWilliams恒等式。

关键词: 四元环, Lee重量, 重量计数器, MacWilliams恒等式

Abstract: Based on ring [F2+vF2] with four elements, a [t-Lee] weight enumerator is given through Lee weight. A MacWilliams identity for the [t-Lee] weight enumerator of linear spaces of the ring [F2+vF2] is proved.

Key words: ring with four elements, Lee weight, weight enumerator, MacWilliams identity

田园，辛小龙. 环[F2+vF2]上线性码的t-Lee重量计数器的研究[J]. 计算机工程与应用, 2012, 48(9): 37-39.

TIAN Yuan, XIN Xiaolong. Study of t-Lee weight enumerator on linear space of [F2+vF2][J]. Computer Engineering and Applications, 2012, 48(9): 37-39.