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J4 ›› 2012, Vol. 47 ›› Issue (6): 102-106.

• 论文 • 上一篇    下一篇

关于码的交换性质的研究

王炯,王志喜,何勇   

  1. 湖南科技大学计算机科学与工程学院代数与自动机理论研究所, 湖南 湘潭 411201
  • 收稿日期:2010-11-26 出版日期:2012-06-20 发布日期:2012-06-26
  • 作者简介:王炯(1980- ), 男, 硕士研究生, 研究方向为理论计算机科学和计算机算法. Email: wall-john@sohu.com
  • 基金资助:

    湖南省高校创新平台开放基金(09K084);湖南省教育厅科学基金资助项目(10C0685)

Research on the commutative properties of codes

WANG Jiong, WANG Zhi-xi, HE Yong   

  1. Institute of Theories on Algebra and Automaton, School of Computer Science and Engineering,
    Hunan University of Science and Technology, Xiangtan 411201, Hunan, China
  • Received:2010-11-26 Online:2012-06-20 Published:2012-06-26

摘要:

 从非模糊积、极大码、码的本原根三个方面,证明了码在可交换和部分可交换情况下的若干性质,推广了与极大码相关的结论,还给出了码的本原根猜想的一个等价刻划。

关键词: 码; 交换性质; 非模糊积; 极大码; 本原根

Abstract:

The relations between commutative codes, unambiguous products, maximal codes and primitive roots are studied. Several results of commutation and partial commutation with codes are given, and the relevant results about maximal codes are generated. Also, an equivalent proposition of a conjecture about the roots of codes is given.

Key words:  codes; commutative properties; maximal codes; primitive roots; unambiguous products

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