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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]/(xnāˆ’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[/(xnāˆ’(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)ā€” Constacyclic Codes Over the Ring S
Conclusion
Acknowledgments
References
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