Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (24): 30-32.DOI: 10.3778/j.issn.1002-8331.2009.24.010

• 研究、探讨 • Previous Articles     Next Articles

Cyclic codes and negacyclic codes over Zp2

JIANG Chun-tao，XIN Xiao-long
  

  1. Department of Mathematics，Northwest University，Xi’an 710127，China
  • Received:2008-05-06 Revised:2008-08-11 Online:2009-08-21 Published:2009-08-21
  • Contact: JIANG Chun-tao

Zp2上的循环码和负循环码

蒋春涛，辛小龙   

  1. 西北大学 数学系，西安 710127
  • 通讯作者: 蒋春涛

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Abstract: The concept of Gray map is introduced and the relation of 1-pk-cyclic codes over Zpk+1 and the quasi-cyclic codes over Fp of index p k_1 and length pkn.At the same time φ on Zp2→Zp2n is defined and the relation between negacyclic codes and cyclic codes is studied.

摘要：

应用了Gray映射ø 的概念，给出了Zpk+1中的1-pk-循环码与Fp上指标为p k-1长度为pkn的准循环码之间的关系；同时定义了Zp2→Zp2n的映射φ ，并且研究了在它作用下负循环码与循环码的关系。

CLC Number: 

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