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# International Symposium on Information Engineering and Electronic Commerce, 3rd (IEEC 2011)

Editor
C. B. Povloviq
C. B. Povloviq
National Technical University of Ukraine
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C. W. Lu
C. W. Lu
Huangshi Institute of Technology
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ISBN:
9780791859759
No. of Pages:
562
Publisher:
ASME Press
Publication date:
2011

In this paper, by studying the polynomial ring $Rn=(Fq+uFq+vFq+uvFq)[x]/(xn−1)$, cyclic codes over the ring $R=Fq+uFq+vFq+uvFq$ are discussed, where the ring R is not a finite chain ring. Finally, when $q=2$, let $S=F2+uF2+vF2+uvF2$, by studying the polynomial ring $Sn=(F2+uF2+vF2+uvF2)[x[/(xn−(1+u))$ and using the corresponding relationship between the (1+u)-consta-cyclic codes over the ring S and the ideals in the ring $Sn$, (1+u)-constacyclic codes over the ring S are characterized.

Abstract
Keywords
Introduction
Cyclic Codes Over the Ring $Fq+uFq+vFq+uvFq$
(1+u)— Constacyclic Codes Over the Ring S
Conclusion
Acknowledgments
References
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