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Structure of Cyclic Codes of Length p~sn over R=Fp[u]/<uk>

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2010年04期
Page:
492-495
Research Field:
Publishing date:

Info

Title:
Structure of Cyclic Codes of Length p~sn over R=Fp[u]/<uk>
Author(s):
HAN Mu1ZHANG Hong1XU Chun-gen2DOU Ben-nian2
1.School of Computer Science and Technology;2.School of Sciences,NUST,Nanjing 210094,China
Keywords:
finite rings cyclic codes discrete Fourier transform isomorphism spectral representation
PACS:
O157.4
DOI:
-
Abstract:
To further strengthen the significance of the application of repeated-root cyclic over finite chain ring in the coding theory,the structure of cyclic codes(N=psn) over R=Fp[u]/<uk> is studied here.By means of the theory of finite rings,some major properties of Galois ring of R are proved.Using discrete Fourier transform,the spectral representation(MS polynomial) of cyclic codes over R=Fp[u]/<uk> is derived.The structures of cyclic codes over R=Fp[u]/<uk> are obtained by constructing an isomorphism.The research results are helpful to design a good decoding method over R=Fp[u]/<uk>.

References:

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Last Update: 2012-11-02