A study on structure of codes over Z4+uZ4+vZ4

Document Type : Original paper

Author

Department of Mathematics, Presidency University, Bangalore, Karnataka, India

Abstract

We study (1+2u+2v)-constacyclic code over a semi-local ring S=Z4+uZ4+vZ4 with the condition u2=3u,v2=3v, and uv=vu=0,  we show that  (1+2u+2v)-constacyclic code over S is equivalent to quasi-cyclic code over Z4 by using two new Gray maps from S to Z4. Also, for odd length n we have defined a generating set for constacyclic codes over S. Finally, we obtained some examples which are new to the data base [Database of Z4 codes [online]}, http://Z4 Codes.info(Accessed March 2, 2020)].

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References

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Communications in Combinatorics and Optimization
Volume 9, Issue 3
September 2024
Pages 567-578

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