Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (9): 37-39.

• 研究、探讨 • Previous Articles     Next Articles

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

TIAN Yuan, XIN Xiaolong   

  1. 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

环[F2+vF2]上线性码的t-Lee重量计数器的研究

田 园,辛小龙   

  1. 西北大学 数学系,西安 710127

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

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