Constacyclic and Cyclic Codes over F_2+uF_2+u^2F_2(Coding Theory)

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概要

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• A new Gray map between codes over F_2+uF_2+u^2F_2 and codes over F_2 is defined. We prove that the Gray image of a linear (1-u^2)-cyclic code over F_2+uF_2+u^2F_2 of length n is a binary distance invariant linear quasi-cyclic code. We also prove that, if n is odd, then every binary code which is the Gray image of a linear cyclic code over F_2+uF_2+u^2F_2 of length n is equivalent to a quasi-cyclic code.

• 社団法人電子情報通信学会の論文
• 2006-06-01

著者

• Zhang Li-na

  Department Of Mathematics And Physics Anhui University Of Science And Technology

• Zhu Shi-xin

  Department Of Applied Mathematics Hefei University Of Technology

• QIAN Jian-Fa

  Department of Mathematics and Physics, Anhui University of Science and Technology

• Qian Jian-fa

  Department Of Mathematics And Physics Anhui University Of Science And Technology

関連論文

• Constacyclic and Cyclic Codes over F_2+uF_2+u^2F_2(Coding Theory)

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