In this paper, we study quantum codes over $$F_q$$ F q from cyclic codes over $$F_q+uF_q+vF_q+uvF_q,$$ F q + u F q + v F q + u v F q , where $$u^2=u,~v^2=v,~uv=vu,~q=p^m$$ u 2 = u , v 2 = v , u v = v u , q = p m , and p is an odd prime. We give the structure of cyclic codes over $$F_q+uF_q+vF_q+uvF_q$$ F q + u F q + v F q + u v F q and obtain self-orthogonal codes over $$F_q$$ F q as Gray images of linear and cyclic codes over $$F_q+uF_q+vF_q+uvF_q$$ F q + u F q + v F q + u v F q . In particular, we decompose a cyclic code over $$F_q+uF_q+vF_q+uvF_q$$ F q + u F q + v F q + u v F q into four cyclic codes over $$F_q$$ F q to determine the parameters of the corresponding quantum code.
Quantum Information Processing – Springer Journals
Published: Jul 11, 2016
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
All the latest content is available, no embargo periods.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud