首页|Constacyclic Codes of Length ps over Finite Rings + uFPm + VFPm + uvFPm
Constacyclic Codes of Length ps over Finite Rings + uFPm + VFPm + uvFPm
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Let R=Fpm +uFpm +vFpm +uvFpm,where u2 =v2 =0,uv =vu.Then R is a local ring,but it is not a chain ring.R contains precisely (pm-1) p 3m units,namely,α + uβ + vγ + uvδ,where α,β,γ,αδ∈Fpm,α≠0.In this paper,we investigate all constacyclic codes of length ps over R.Firstly,we classify all α-constacyclic and (α+uvβ)-constaeyclic codes of length ps over R,respectively,and obtain their structure in each of those α-constacyclic and (α + uvβ)-constacyclic codes.Secondly,we address the (α+uβ)-constacyclic codes of length ps over R,and get their classification and structure.Finally,using similar discussion of (α + uβ)-constacyclic codes,we obtain the classification and the structure of α+vβ,α+uβ+uvγ,α+vβ+uvγ,α+u β+vγ,α+uβ+vγ+uvδ-constacyclic codes of length ps over R.
constacyclic codeslocal ringsideals
HU Peng、LIU Xiusheng
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School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, Hubei, China
Supported by Research Funds of Hubei ProvinceSupported by Research Funds of Hubei Province
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