On the homogeneous distance of negacyclic codes over Z_2^a

ZHU Shixin; KAI Xiaoshan

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On the homogeneous distance of negacyclic codes over Z_2^a

ZHU Shixin *,KAI Xiaoshan #

School of Mathematics, Hefei University of Technology

*Correspondence author

#Submitted by

Subject:

Funding: Specialized Research Fund for the Doctoral Pragram of High Education （No.No.200803590003) and the Foundamental Research Fund for the Central Universities）

Opened online:28 February 2012

Accepted by: none

Citation: ZHU Shixin,KAI Xiaoshan.On the homogeneous distance of negacyclic codes over Z_2^a[OL]. [28 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4465944

In this paper, we investigate the homogeneous distance of negacyclic codes over Z_2^a of any length. We determine the torsion codes of a negacyclic code over Z_2^a for a given length. Using the higher torsion codes, we give a bound for the homogeneous distance of negacyclic codes over Z_2^a of any length. The exact homogeneous distance of some negacyclic codes over Z_2^a is also obtained.

Keywords:cyclic code; negacyclic codes; homogeneous distance

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