Polycyclic codes over R

Document Type : Original paper

Author

Presidency University, Bangalore, Karnatakka-560064, India

Abstract

In this paper, we  discuss the structure of polycyclic codes over the ring R=Fq+uFq+vFq;u2=αu,v2=v and uv=vu=0, where α is an unit element in R. We introduce annihilator self-dual codes, annihilator self-orthogonal codes and annihilator LCD codes over R. Using a Gray map, we define a one to one correspondence between R and Fq and  construct quasi polycyclic  codes over the  Fq.

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References

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Communications in Combinatorics and Optimization
Volume 10, Issue 2
June 2025
Pages 371-379

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